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2026-01-01
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<p>Last updated on<strong>August 5, 2025</strong></p>
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<p>Last updated on<strong>August 5, 2025</strong></p>
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<p>If a number is multiplied by the same number, the result is a square. The inverse of the square is a square root. The square root is used in the field of vehicle design, finance, etc. Here, we will discuss the square root of 2/9.</p>
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<p>If a number is multiplied by the same number, the result is a square. The inverse of the square is a square root. The square root is used in the field of vehicle design, finance, etc. Here, we will discuss the square root of 2/9.</p>
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<h2>What is the Square Root of 2/9?</h2>
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<h2>What is the Square Root of 2/9?</h2>
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<p>The<a>square</a>root is the inverse of the square of a<a>number</a>. 2/9 is not a<a>perfect square</a>. The square root of 2/9 is expressed in both radical and<a>exponential form</a>. In the radical form, it is expressed as √(2/9), whereas (2/9)^(1/2) in exponential form. √(2/9) = √2/√9 = √2/3, which is an<a>irrational number</a>because it cannot be expressed in the form of p/q, where p and q are<a>integers</a>and q ≠ 0.</p>
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<p>The<a>square</a>root is the inverse of the square of a<a>number</a>. 2/9 is not a<a>perfect square</a>. The square root of 2/9 is expressed in both radical and<a>exponential form</a>. In the radical form, it is expressed as √(2/9), whereas (2/9)^(1/2) in exponential form. √(2/9) = √2/√9 = √2/3, which is an<a>irrational number</a>because it cannot be expressed in the form of p/q, where p and q are<a>integers</a>and q ≠ 0.</p>
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<h2>Finding the Square Root of 2/9</h2>
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<h2>Finding the Square Root of 2/9</h2>
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<p>The<a>prime factorization</a>method is used for perfect square numbers. However, the prime factorization method is not used for non-perfect square numbers where the long-<a>division</a>method and approximation method are used. Let us now learn the following methods:</p>
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<p>The<a>prime factorization</a>method is used for perfect square numbers. However, the prime factorization method is not used for non-perfect square numbers where the long-<a>division</a>method and approximation method are used. Let us now learn the following methods:</p>
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<ul><li>Prime factorization method</li>
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<ul><li>Prime factorization method</li>
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<li>Long division method</li>
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<li>Long division method</li>
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<li>Approximation method</li>
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<li>Approximation method</li>
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</ul><h2>Square Root of 2/9 by Prime Factorization Method</h2>
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</ul><h2>Square Root of 2/9 by Prime Factorization Method</h2>
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<p>The<a>product</a>of prime<a>factors</a>is the prime factorization of a number. Now let us look at how 2/9 is broken down into its prime factors:</p>
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<p>The<a>product</a>of prime<a>factors</a>is the prime factorization of a number. Now let us look at how 2/9 is broken down into its prime factors:</p>
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<p><strong>Step 1:</strong>Finding the prime factors of 2 and 9. Breaking it down, we get 2 as 2 and 9 as 3 x 3: 2 and 3^2.</p>
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<p><strong>Step 1:</strong>Finding the prime factors of 2 and 9. Breaking it down, we get 2 as 2 and 9 as 3 x 3: 2 and 3^2.</p>
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<p><strong>Step 2:</strong>Now we found out the prime factors of 2/9. The second step is to make pairs of those prime factors. Since 2/9 is not a perfect square, calculating the<a>square root</a>of 2/9 using prime factorization involves taking the square root of the<a>numerator</a>and the<a>denominator</a>separately.</p>
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<p><strong>Step 2:</strong>Now we found out the prime factors of 2/9. The second step is to make pairs of those prime factors. Since 2/9 is not a perfect square, calculating the<a>square root</a>of 2/9 using prime factorization involves taking the square root of the<a>numerator</a>and the<a>denominator</a>separately.</p>
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<h2>Square Root of 2/9 by Long Division Method</h2>
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<h2>Square Root of 2/9 by Long Division Method</h2>
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<p>The<a>long division</a>method is particularly used for non-perfect square numbers. In this method, we can check by dividing 2 by 9 first, and then finding the square root. Let us now learn how to find the square root using the long division method, step by step:</p>
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<p>The<a>long division</a>method is particularly used for non-perfect square numbers. In this method, we can check by dividing 2 by 9 first, and then finding the square root. Let us now learn how to find the square root using the long division method, step by step:</p>
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<p><strong>Step 1:</strong>Divide 2 by 9 to get 0.222.</p>
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<p><strong>Step 1:</strong>Divide 2 by 9 to get 0.222.</p>
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<p><strong>Step 2:</strong>Find the square root of 0.222... using the long division method.</p>
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<p><strong>Step 2:</strong>Find the square root of 0.222... using the long division method.</p>
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<p><strong>Step 3:</strong>Group the digits in pairs from the<a>decimal</a>point, i.e., 0.22 | 20.</p>
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<p><strong>Step 3:</strong>Group the digits in pairs from the<a>decimal</a>point, i.e., 0.22 | 20.</p>
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<p><strong>Step 4:</strong>Find the largest number whose square is<a>less than</a>or equal to 2.00, which is 1. The<a>divisor</a>becomes 1.</p>
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<p><strong>Step 4:</strong>Find the largest number whose square is<a>less than</a>or equal to 2.00, which is 1. The<a>divisor</a>becomes 1.</p>
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<p><strong>Step 5:</strong>Subtract 1 from 2.00 to get 1.00, then bring down the next pair to get 100.</p>
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<p><strong>Step 5:</strong>Subtract 1 from 2.00 to get 1.00, then bring down the next pair to get 100.</p>
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<p><strong>Step 6:</strong>Double the current divisor (1) to get 2, and find a digit n such that 2n × n is less than or equal to 100. The digit is 4 because 24 × 4 = 96.</p>
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<p><strong>Step 6:</strong>Double the current divisor (1) to get 2, and find a digit n such that 2n × n is less than or equal to 100. The digit is 4 because 24 × 4 = 96.</p>
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<p><strong>Step 7:</strong>Subtract 96 from 100 to get 4, then bring down the next pair to get 400.</p>
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<p><strong>Step 7:</strong>Subtract 96 from 100 to get 4, then bring down the next pair to get 400.</p>
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<p><strong>Step 8:</strong>Continue this process until you get the desired precision.</p>
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<p><strong>Step 8:</strong>Continue this process until you get the desired precision.</p>
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<h2>Square Root of 2/9 by Approximation Method</h2>
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<h2>Square Root of 2/9 by Approximation Method</h2>
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<p>The approximation method is another method for finding square roots; it is an easy method to find the square root of a given number. Now let us learn how to find the square root of 2/9 using the approximation method.</p>
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<p>The approximation method is another method for finding square roots; it is an easy method to find the square root of a given number. Now let us learn how to find the square root of 2/9 using the approximation method.</p>
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<p><strong>Step 1:</strong>Approximate the square root of 2/9 by estimating the square roots of the<a>numerator and denominator</a>. √2 is approximately 1.414 and √9 is exactly 3.</p>
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<p><strong>Step 1:</strong>Approximate the square root of 2/9 by estimating the square roots of the<a>numerator and denominator</a>. √2 is approximately 1.414 and √9 is exactly 3.</p>
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<p><strong>Step 2:</strong>Divide the approximate square root of the numerator by the square root of the denominator: 1.414/3 ≈ 0.471</p>
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<p><strong>Step 2:</strong>Divide the approximate square root of the numerator by the square root of the denominator: 1.414/3 ≈ 0.471</p>
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<p><strong>Step 3:</strong>This approximate value is the square root of 2/9, i.e., 0.471.</p>
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<p><strong>Step 3:</strong>This approximate value is the square root of 2/9, i.e., 0.471.</p>
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<h2>Common Mistakes and How to Avoid Them in the Square Root of 2/9</h2>
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<h2>Common Mistakes and How to Avoid Them in the Square Root of 2/9</h2>
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<p>Students do make mistakes while finding the square root, such as forgetting about the negative square root or skipping steps in methods. Now let us look at a few of those mistakes that students tend to make in detail.</p>
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<p>Students do make mistakes while finding the square root, such as forgetting about the negative square root or skipping steps in methods. Now let us look at a few of those mistakes that students tend to make in detail.</p>
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<h3>Problem 1</h3>
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<h3>Problem 1</h3>
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<p>Can you help Max find the area of a square box if its side length is given as √(4/9)?</p>
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<p>Can you help Max find the area of a square box if its side length is given as √(4/9)?</p>
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<p>Okay, lets begin</p>
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<p>Okay, lets begin</p>
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<p>The area of the square is 4/9 or approximately 0.444 square units.</p>
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<p>The area of the square is 4/9 or approximately 0.444 square units.</p>
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<h3>Explanation</h3>
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<h3>Explanation</h3>
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<p>The area of the square = side².</p>
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<p>The area of the square = side².</p>
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<p>The side length is given as √(4/9).</p>
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<p>The side length is given as √(4/9).</p>
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<p>Area of the square = (√(4/9))²</p>
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<p>Area of the square = (√(4/9))²</p>
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<p>= 4/9.</p>
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<p>= 4/9.</p>
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<p>Therefore, the area of the square box is 4/9 or approximately 0.444 square units.</p>
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<p>Therefore, the area of the square box is 4/9 or approximately 0.444 square units.</p>
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<p>Well explained 👍</p>
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<p>Well explained 👍</p>
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<h3>Problem 2</h3>
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<h3>Problem 2</h3>
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<p>A square-shaped garden measuring 2/9 square meters is built; if each of the sides is √(2/9), what will be the square meters of half of the garden?</p>
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<p>A square-shaped garden measuring 2/9 square meters is built; if each of the sides is √(2/9), what will be the square meters of half of the garden?</p>
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<p>Okay, lets begin</p>
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<p>Okay, lets begin</p>
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<p>1/9 square meter</p>
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<p>1/9 square meter</p>
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<h3>Explanation</h3>
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<h3>Explanation</h3>
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<p>We can just divide the given area by 2 as the garden is square-shaped.</p>
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<p>We can just divide the given area by 2 as the garden is square-shaped.</p>
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<p>Dividing 2/9 by 2 = 1/9.</p>
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<p>Dividing 2/9 by 2 = 1/9.</p>
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<p>So half of the garden measures 1/9 square meter.</p>
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<p>So half of the garden measures 1/9 square meter.</p>
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<p>Well explained 👍</p>
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<p>Well explained 👍</p>
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<h3>Problem 3</h3>
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<h3>Problem 3</h3>
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<p>Calculate √(2/9) x 5.</p>
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<p>Calculate √(2/9) x 5.</p>
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<p>Okay, lets begin</p>
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<p>Okay, lets begin</p>
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<p>Approximately 2.355</p>
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<p>Approximately 2.355</p>
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<h3>Explanation</h3>
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<h3>Explanation</h3>
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<p>The first step is to find the square root of 2/9 which is approximately 0.471, the second step is to multiply 0.471 with 5.</p>
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<p>The first step is to find the square root of 2/9 which is approximately 0.471, the second step is to multiply 0.471 with 5.</p>
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<p>So 0.471 × 5 ≈ 2.355.</p>
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<p>So 0.471 × 5 ≈ 2.355.</p>
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<p>Well explained 👍</p>
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<p>Well explained 👍</p>
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<h3>Problem 4</h3>
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<h3>Problem 4</h3>
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<p>What will be the square root of (1/9 + 1/36)?</p>
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<p>What will be the square root of (1/9 + 1/36)?</p>
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<p>Okay, lets begin</p>
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<p>Okay, lets begin</p>
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<p>The square root is approximately 0.333</p>
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<p>The square root is approximately 0.333</p>
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<h3>Explanation</h3>
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<h3>Explanation</h3>
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<p>To find the square root, we need to find the sum of (1/9 + 1/36).</p>
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<p>To find the square root, we need to find the sum of (1/9 + 1/36).</p>
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<p>1/9 + 1/36 = 4/36 + 1/36 = 5/36, and then √(5/36) ≈ 0.333.</p>
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<p>1/9 + 1/36 = 4/36 + 1/36 = 5/36, and then √(5/36) ≈ 0.333.</p>
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<p>Therefore, the square root of (1/9 + 1/36) is approximately 0.333.</p>
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<p>Therefore, the square root of (1/9 + 1/36) is approximately 0.333.</p>
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<p>Well explained 👍</p>
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<p>Well explained 👍</p>
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<h3>Problem 5</h3>
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<h3>Problem 5</h3>
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<p>Find the perimeter of the rectangle if its length ‘l’ is √(1/9) units and the width ‘w’ is 3 units.</p>
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<p>Find the perimeter of the rectangle if its length ‘l’ is √(1/9) units and the width ‘w’ is 3 units.</p>
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<p>Okay, lets begin</p>
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<p>Okay, lets begin</p>
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<p>We find the perimeter of the rectangle as approximately 6.67 units.</p>
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<p>We find the perimeter of the rectangle as approximately 6.67 units.</p>
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<h3>Explanation</h3>
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<h3>Explanation</h3>
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<p>Perimeter of the rectangle = 2 × (length + width)</p>
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<p>Perimeter of the rectangle = 2 × (length + width)</p>
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<p>Perimeter = 2 × (√(1/9) + 3)</p>
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<p>Perimeter = 2 × (√(1/9) + 3)</p>
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<p>= 2 × (1/3 + 3)</p>
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<p>= 2 × (1/3 + 3)</p>
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<p>= 2 × 3.333</p>
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<p>= 2 × 3.333</p>
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<p>= 6.67 units.</p>
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<p>= 6.67 units.</p>
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<p>Well explained 👍</p>
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<p>Well explained 👍</p>
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<h2>FAQ on Square Root of 2/9</h2>
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<h2>FAQ on Square Root of 2/9</h2>
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<h3>1.What is √(2/9) in its simplest form?</h3>
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<h3>1.What is √(2/9) in its simplest form?</h3>
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<p>The prime factorization of 2 is 2 and 9 is 3 x 3, so the simplest form of √(2/9) is √2/3.</p>
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<p>The prime factorization of 2 is 2 and 9 is 3 x 3, so the simplest form of √(2/9) is √2/3.</p>
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<h3>2.Mention the factors of 9.</h3>
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<h3>2.Mention the factors of 9.</h3>
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<p>Factors of 9 are 1, 3, and 9.</p>
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<p>Factors of 9 are 1, 3, and 9.</p>
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<h3>3.Calculate the square of 2/9.</h3>
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<h3>3.Calculate the square of 2/9.</h3>
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<p>We get the square of 2/9 by multiplying the number by itself, that is (2/9) x (2/9) = 4/81.</p>
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<p>We get the square of 2/9 by multiplying the number by itself, that is (2/9) x (2/9) = 4/81.</p>
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<h3>4.Is 2/9 a prime number?</h3>
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<h3>4.Is 2/9 a prime number?</h3>
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<h3>5.2/9 is divisible by?</h3>
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<h3>5.2/9 is divisible by?</h3>
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<p>2/9 is a fraction, so it is not divisible by integers in the usual sense.</p>
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<p>2/9 is a fraction, so it is not divisible by integers in the usual sense.</p>
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<p>However, it can be simplified by dividing both the numerator and the denominator by their<a>greatest common factor</a>, which in this case is 1.</p>
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<p>However, it can be simplified by dividing both the numerator and the denominator by their<a>greatest common factor</a>, which in this case is 1.</p>
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<h2>Important Glossaries for the Square Root of 2/9</h2>
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<h2>Important Glossaries for the Square Root of 2/9</h2>
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<ul><li><strong>Square root:</strong>A square root is the inverse operation of squaring a number. For example, 4² = 16, and the inverse operation is the square root: √16 = 4. </li>
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<ul><li><strong>Square root:</strong>A square root is the inverse operation of squaring a number. For example, 4² = 16, and the inverse operation is the square root: √16 = 4. </li>
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<li><strong>Irrational number:</strong>An irrational number is a number that cannot be written in the form of p/q, where q is not equal to zero, and p and q are integers. </li>
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<li><strong>Irrational number:</strong>An irrational number is a number that cannot be written in the form of p/q, where q is not equal to zero, and p and q are integers. </li>
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<li><strong>Fraction:</strong>A fraction represents a part of a whole and is expressed as a ratio of two integers, such as 1/2, 3/4, etc. </li>
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<li><strong>Fraction:</strong>A fraction represents a part of a whole and is expressed as a ratio of two integers, such as 1/2, 3/4, etc. </li>
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<li><strong>Perimeter:</strong>The perimeter is the total length of the boundary of a two-dimensional shape. For a rectangle, it is calculated as 2 × (length + width). </li>
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<li><strong>Perimeter:</strong>The perimeter is the total length of the boundary of a two-dimensional shape. For a rectangle, it is calculated as 2 × (length + width). </li>
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<li><strong>Approximation:</strong>Approximation is the process of finding a value that is close enough to the correct answer, usually within a specified range.</li>
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<li><strong>Approximation:</strong>Approximation is the process of finding a value that is close enough to the correct answer, usually within a specified range.</li>
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</ul><p>What Is Algebra? 🧮 | Simple Explanation with 🎯 Cool Examples for Kids | ✨BrightCHAMPS Math</p>
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</ul><p>What Is Algebra? 🧮 | Simple Explanation with 🎯 Cool Examples for Kids | ✨BrightCHAMPS Math</p>
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<p>▶</p>
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<p>▶</p>
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<h2>Jaskaran Singh Saluja</h2>
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<h2>Jaskaran Singh Saluja</h2>
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<h3>About the Author</h3>
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<h3>About the Author</h3>
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<p>Jaskaran Singh Saluja is a math wizard with nearly three years of experience as a math teacher. His expertise is in algebra, so he can make algebra classes interesting by turning tricky equations into simple puzzles.</p>
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<p>Jaskaran Singh Saluja is a math wizard with nearly three years of experience as a math teacher. His expertise is in algebra, so he can make algebra classes interesting by turning tricky equations into simple puzzles.</p>
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<h3>Fun Fact</h3>
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<h3>Fun Fact</h3>
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<p>: He loves to play the quiz with kids through algebra to make kids love it.</p>
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<p>: He loves to play the quiz with kids through algebra to make kids love it.</p>