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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 1/18.</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 1/18.</p>
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<h2>What is the Square Root of 1/18?</h2>
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<h2>What is the Square Root of 1/18?</h2>
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<p>The<a>square</a>root is the inverse of the square of the<a>number</a>. 1/18 is not a<a>perfect square</a>. The square root of 1/18 is expressed in both radical and<a>exponential form</a>. In the radical form, it is expressed as √(1/18), whereas (1/18)^(1/2) in the exponential form. √(1/18) = 1/√18 = 1/4.24264, 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 the<a>number</a>. 1/18 is not a<a>perfect square</a>. The square root of 1/18 is expressed in both radical and<a>exponential form</a>. In the radical form, it is expressed as √(1/18), whereas (1/18)^(1/2) in the exponential form. √(1/18) = 1/√18 = 1/4.24264, 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 1/18</h2>
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<h2>Finding the Square Root of 1/18</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>Division method </li>
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<li>Division method </li>
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<li>Approximation method</li>
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<li>Approximation method</li>
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</ul><h3>Square Root of 1/18 by Prime Factorization Method</h3>
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</ul><h3>Square Root of 1/18 by Prime Factorization Method</h3>
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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 18 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 18 is broken down into its prime factors:</p>
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<p><strong>Step 1:</strong>Finding the prime factors of 18 Breaking it down, we get 2 x 3 x 3: 2^1 x 3^2</p>
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<p><strong>Step 1:</strong>Finding the prime factors of 18 Breaking it down, we get 2 x 3 x 3: 2^1 x 3^2</p>
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<p><strong>Step 2:</strong>Now we found out the prime factors of 18. The second step is to make pairs of those prime factors. Since 18 is not a perfect square, the digits of the number can’t be grouped in pairs. Therefore, calculating 1/18 using prime factorization is not straightforward.</p>
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<p><strong>Step 2:</strong>Now we found out the prime factors of 18. The second step is to make pairs of those prime factors. Since 18 is not a perfect square, the digits of the number can’t be grouped in pairs. Therefore, calculating 1/18 using prime factorization is not straightforward.</p>
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<h3>Square Root of 1/18 by Long Division Method</h3>
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<h3>Square Root of 1/18 by Long Division Method</h3>
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<p>The<a>long division</a>method is particularly used for non-perfect square numbers. In this method, we should check the closest perfect square number for the given number. Let us now learn how to find the<a>square root</a>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 should check the closest perfect square number for the given number. Let us now learn how to find the<a>square root</a>using the long division method, step by step.</p>
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<p><strong>Step 1:</strong>To begin with, we need to group the numbers from right to left. In the case of 18, we need to consider it as a<a>whole number</a>first.</p>
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<p><strong>Step 1:</strong>To begin with, we need to group the numbers from right to left. In the case of 18, we need to consider it as a<a>whole number</a>first.</p>
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<p><strong>Step 2:</strong>Now we need to find n whose square is closest to 1. We can say n as ‘1’ because 1 x 1 is<a>less than</a>or equal to 1. Now the<a>quotient</a>is 1 after subtracting 1-1, the<a>remainder</a>is 0.</p>
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<p><strong>Step 2:</strong>Now we need to find n whose square is closest to 1. We can say n as ‘1’ because 1 x 1 is<a>less than</a>or equal to 1. Now the<a>quotient</a>is 1 after subtracting 1-1, the<a>remainder</a>is 0.</p>
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<p><strong>Step 3:</strong>We continue the process for the<a>denominator</a>18, which gives us a quotient of approximately 4.24264.</p>
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<p><strong>Step 3:</strong>We continue the process for the<a>denominator</a>18, which gives us a quotient of approximately 4.24264.</p>
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<p><strong>Step 4:</strong>Since we need the square root of 1/18, we take the reciprocal of the square root of 18, resulting in approximately 0.23570.</p>
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<p><strong>Step 4:</strong>Since we need the square root of 1/18, we take the reciprocal of the square root of 18, resulting in approximately 0.23570.</p>
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<h3>Square Root of 1/18 by Approximation Method</h3>
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<h3>Square Root of 1/18 by Approximation Method</h3>
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<p>The approximation method is another method for finding the 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 1/18 using the approximation method.</p>
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<p>The approximation method is another method for finding the 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 1/18 using the approximation method.</p>
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<p><strong>Step 1:</strong>Now we have to find the closest perfect squares related to √18. The smallest perfect square less than 18 is 16, and the largest perfect square<a>greater than</a>18 is 25. √18 falls between 4 and 5.</p>
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<p><strong>Step 1:</strong>Now we have to find the closest perfect squares related to √18. The smallest perfect square less than 18 is 16, and the largest perfect square<a>greater than</a>18 is 25. √18 falls between 4 and 5.</p>
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<p><strong>Step 2:</strong>Now we need to apply the<a>formula</a>that is (Given number - smallest perfect square) / (Greater perfect square - smallest perfect square). Going by the formula (18 - 16) / (25 - 16) = 2/9 = 0.22 Using the formula, we identify the<a>decimal</a>point of our square root. The next step is adding the value we got initially to the decimal number, which is 4 + 0.22 = 4.22, so the square root of 18 is approximately 4.22. Thus, the square root of 1/18 is approximately 1/4.22 = 0.237.</p>
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<p><strong>Step 2:</strong>Now we need to apply the<a>formula</a>that is (Given number - smallest perfect square) / (Greater perfect square - smallest perfect square). Going by the formula (18 - 16) / (25 - 16) = 2/9 = 0.22 Using the formula, we identify the<a>decimal</a>point of our square root. The next step is adding the value we got initially to the decimal number, which is 4 + 0.22 = 4.22, so the square root of 18 is approximately 4.22. Thus, the square root of 1/18 is approximately 1/4.22 = 0.237.</p>
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<h2>Common Mistakes and How to Avoid Them in the Square Root of 1/18</h2>
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<h2>Common Mistakes and How to Avoid Them in the Square Root of 1/18</h2>
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<p>Students do make mistakes while finding the square root, like forgetting about the negative square root, skipping long division methods, etc. 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, like forgetting about the negative square root, skipping long division methods, etc. 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 √(1/18)?</p>
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<p>Can you help Max find the area of a square box if its side length is given as √(1/18)?</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 approximately 0.01389 square units.</p>
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<p>The area of the square is approximately 0.01389 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 = side^2.</p>
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<p>The area of the square = side^2.</p>
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<p>The side length is given as √(1/18).</p>
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<p>The side length is given as √(1/18).</p>
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<p>Area of the square = (√(1/18))^2 = 1/18 ≈ 0.01389.</p>
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<p>Area of the square = (√(1/18))^2 = 1/18 ≈ 0.01389.</p>
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<p>Therefore, the area of the square box is approximately 0.01389 square units.</p>
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<p>Therefore, the area of the square box is approximately 0.01389 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 building measuring 1/18 square feet is built; if each of the sides is √(1/18), what will be the square feet of half of the building?</p>
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<p>A square-shaped building measuring 1/18 square feet is built; if each of the sides is √(1/18), what will be the square feet of half of the building?</p>
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<p>Okay, lets begin</p>
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<p>Okay, lets begin</p>
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<p>0.5/18 square feet</p>
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<p>0.5/18 square feet</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 building is square-shaped.</p>
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<p>We can just divide the given area by 2 as the building is square-shaped.</p>
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<p>Dividing 1/18 by 2 = 0.5/18.</p>
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<p>Dividing 1/18 by 2 = 0.5/18.</p>
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<p>So half of the building measures 0.5/18 square feet.</p>
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<p>So half of the building measures 0.5/18 square feet.</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 √(1/18) x 5.</p>
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<p>Calculate √(1/18) 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>1.185</p>
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<p>1.185</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 1/18, which is approximately 0.237, and the second step is to multiply 0.237 with 5. So 0.237 x 5 ≈ 1.185.</p>
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<p>The first step is to find the square root of 1/18, which is approximately 0.237, and the second step is to multiply 0.237 with 5. So 0.237 x 5 ≈ 1.185.</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 (1/18 + 1)?</p>
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<p>What will be the square root of (1/18 + 1)?</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 1.049.</p>
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<p>The square root is approximately 1.049.</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 (1/18 + 1). 1/18 + 1 = 19/18, and then √(19/18) ≈ 1.049. Therefore, the square root of (1/18 + 1) is approximately ±1.049.</p>
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<p>To find the square root, we need to find the sum of (1/18 + 1). 1/18 + 1 = 19/18, and then √(19/18) ≈ 1.049. Therefore, the square root of (1/18 + 1) is approximately ±1.049.</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 √(1/18) units and the width ‘w’ is 2 units.</p>
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<p>Find the perimeter of the rectangle if its length ‘l’ is √(1/18) units and the width ‘w’ is 2 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>The perimeter of the rectangle is approximately 4.474 units.</p>
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<p>The perimeter of the rectangle is approximately 4.474 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). Perimeter = 2 × (√(1/18) + 2) ≈ 2 × (0.237 + 2) = 2 × 2.237 = 4.474 units.</p>
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<p>Perimeter of the rectangle = 2 × (length + width). Perimeter = 2 × (√(1/18) + 2) ≈ 2 × (0.237 + 2) = 2 × 2.237 = 4.474 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 1/18</h2>
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<h2>FAQ on Square Root of 1/18</h2>
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<h3>1.What is √(1/18) in its simplest form?</h3>
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<h3>1.What is √(1/18) in its simplest form?</h3>
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<p>The prime factorization of 18 is 2 x 3 x 3, so the simplest form of √(1/18) = 1/√(2 x 3 x 3) ≈ 1/4.24264.</p>
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<p>The prime factorization of 18 is 2 x 3 x 3, so the simplest form of √(1/18) = 1/√(2 x 3 x 3) ≈ 1/4.24264.</p>
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<h3>2.Mention the factors of 18.</h3>
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<h3>2.Mention the factors of 18.</h3>
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<p>Factors of 18 are 1, 2, 3, 6, 9, and 18.</p>
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<p>Factors of 18 are 1, 2, 3, 6, 9, and 18.</p>
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<h3>3.Calculate the square of 1/18.</h3>
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<h3>3.Calculate the square of 1/18.</h3>
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<p>We get the square of 1/18 by multiplying the number by itself, that is (1/18) x (1/18) = 1/324.</p>
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<p>We get the square of 1/18 by multiplying the number by itself, that is (1/18) x (1/18) = 1/324.</p>
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<h3>4.Is 18 a prime number?</h3>
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<h3>4.Is 18 a prime number?</h3>
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<h3>5.18 is divisible by?</h3>
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<h3>5.18 is divisible by?</h3>
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<p>18 has many factors; those are 1, 2, 3, 6, 9, and 18.</p>
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<p>18 has many factors; those are 1, 2, 3, 6, 9, and 18.</p>
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<h2>Important Glossaries for the Square Root of 1/18</h2>
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<h2>Important Glossaries for the Square Root of 1/18</h2>
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<ul><li><strong>Square root:</strong>A square root is the inverse of a square. Example: 4^2 = 16, and the inverse of the square is the square root, that is, √16 = 4.</li>
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<ul><li><strong>Square root:</strong>A square root is the inverse of a square. Example: 4^2 = 16, and the inverse of the square is the square root, that is, √16 = 4.</li>
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</ul><ul><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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</ul><ul><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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</ul><ul><li><strong>Reciprocal:</strong>The reciprocal of a number is 1 divided by that number. For example, the reciprocal of 2 is 1/2.</li>
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</ul><ul><li><strong>Reciprocal:</strong>The reciprocal of a number is 1 divided by that number. For example, the reciprocal of 2 is 1/2.</li>
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</ul><ul><li><strong>Decimal approximation:</strong>A decimal approximation is a way of representing an irrational number with a finite number of decimal places for simplicity.</li>
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</ul><ul><li><strong>Decimal approximation:</strong>A decimal approximation is a way of representing an irrational number with a finite number of decimal places for simplicity.</li>
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</ul><ul><li><strong>Perfect square:</strong>A perfect square is a number that is the square of an integer. For example, 16 is a perfect square because it is 4^2.</li>
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</ul><ul><li><strong>Perfect square:</strong>A perfect square is a number that is the square of an integer. For example, 16 is a perfect square because it is 4^2.</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>