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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 12/3.</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 12/3.</p>
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<h2>What is the Square Root of 12/3?</h2>
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<h2>What is the Square Root of 12/3?</h2>
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<p>The<a>square</a>root is the inverse of the square of the<a>number</a>. 12/3 simplifies to 4, which is a<a>perfect square</a>. The square root of 12/3 is expressed in both radical and<a>exponential form</a>. In the radical form, it is expressed as √(12/3) = √4, whereas in the exponential form it is (4)^(1/2). √4 = 2, which is a<a>rational number</a>because it can 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>. 12/3 simplifies to 4, which is a<a>perfect square</a>. The square root of 12/3 is expressed in both radical and<a>exponential form</a>. In the radical form, it is expressed as √(12/3) = √4, whereas in the exponential form it is (4)^(1/2). √4 = 2, which is a<a>rational number</a>because it can 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 12/3</h2>
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<h2>Finding the Square Root of 12/3</h2>
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<p>Since 12/3 simplifies to 4, which is a perfect square, we can use the<a>prime factorization</a>method to find the<a>square root</a>. However, for non-perfect squares, methods such as the<a>long division</a>method and approximation method can be used. Below are the methods:</p>
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<p>Since 12/3 simplifies to 4, which is a perfect square, we can use the<a>prime factorization</a>method to find the<a>square root</a>. However, for non-perfect squares, methods such as the<a>long division</a>method and approximation method can be used. Below are the 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 12/3 by Prime Factorization Method</h2>
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</ul><h2>Square Root of 12/3 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 4 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 4 is broken down into its prime factors.</p>
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<p><strong>Step 1:</strong>Finding the prime factors of 4 Breaking it down, we get 2 x 2.</p>
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<p><strong>Step 1:</strong>Finding the prime factors of 4 Breaking it down, we get 2 x 2.</p>
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<p><strong>Step 2:</strong>Since 4 is a perfect square, we can group the factors in pairs. Thus, the square root of 4 can be found as √(2 x 2) = 2.</p>
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<p><strong>Step 2:</strong>Since 4 is a perfect square, we can group the factors in pairs. Thus, the square root of 4 can be found as √(2 x 2) = 2.</p>
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<h2>Square Root of 12/3 by Long Division Method</h2>
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<h2>Square Root of 12/3 by Long Division Method</h2>
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<p>The long<a>division</a>method is typically used for non-perfect square numbers, but it can also apply to perfect squares like 4 to verify results. Here’s how it works for √4:</p>
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<p>The long<a>division</a>method is typically used for non-perfect square numbers, but it can also apply to perfect squares like 4 to verify results. Here’s how it works for √4:</p>
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<p>Step 1: For 4, consider the closest perfect square<a>less than</a>or equal to 4, which is 4 itself.</p>
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<p>Step 1: For 4, consider the closest perfect square<a>less than</a>or equal to 4, which is 4 itself.</p>
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<p><strong>Step 2:</strong>The square of 2 is 4, so 2 is our<a>divisor</a>, and the<a>quotient</a>is also 2.</p>
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<p><strong>Step 2:</strong>The square of 2 is 4, so 2 is our<a>divisor</a>, and the<a>quotient</a>is also 2.</p>
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<p><strong>Step 3:</strong>Subtract 4 from 4, resulting in a<a>remainder</a>of zero. Thus, the square root of √4 is 2.</p>
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<p><strong>Step 3:</strong>Subtract 4 from 4, resulting in a<a>remainder</a>of zero. Thus, the square root of √4 is 2.</p>
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<h2>Square Root of 12/3 by Approximation Method</h2>
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<h2>Square Root of 12/3 by Approximation Method</h2>
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<p>The approximation method is generally used for non-perfect squares, but for educational purposes, it can apply here to verify results.</p>
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<p>The approximation method is generally used for non-perfect squares, but for educational purposes, it can apply here to verify results.</p>
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<p><strong>Step 1:</strong>Considering √4, we know it lies between the perfect squares of 1 (1^2) and 4 (2^2).</p>
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<p><strong>Step 1:</strong>Considering √4, we know it lies between the perfect squares of 1 (1^2) and 4 (2^2).</p>
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<p><strong>Step 2:</strong>Since 4 is exactly a perfect square, √4 = 2.</p>
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<p><strong>Step 2:</strong>Since 4 is exactly a perfect square, √4 = 2.</p>
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<h2>Common Mistakes and How to Avoid Them in the Square Root of 12/3</h2>
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<h2>Common Mistakes and How to Avoid Them in the Square Root of 12/3</h2>
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<p>Students may make mistakes while finding the square root, like forgetting about the negative square root or misapplying methods. Here are some common errors:</p>
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<p>Students may make mistakes while finding the square root, like forgetting about the negative square root or misapplying methods. Here are some common errors:</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 √(12/3)?</p>
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<p>Can you help Max find the area of a square box if its side length is given as √(12/3)?</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 square units.</p>
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<p>The area of the square is 4 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 √(12/3) = √4 = 2.</p>
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<p>The side length is given as √(12/3) = √4 = 2.</p>
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<p>Area of the square = side^2 = 2 x 2 = 4.</p>
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<p>Area of the square = side^2 = 2 x 2 = 4.</p>
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<p>Therefore, the area of the square box is 4 square units.</p>
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<p>Therefore, the area of the square box is 4 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 12/3 square feet is built; if each of the sides is √(12/3), what will be the square feet of half of the building?</p>
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<p>A square-shaped building measuring 12/3 square feet is built; if each of the sides is √(12/3), 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>2 square feet</p>
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<p>2 square feet</p>
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<h3>Explanation</h3>
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<h3>Explanation</h3>
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<p>The area of the building is 12/3 or 4, as the building is square-shaped.</p>
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<p>The area of the building is 12/3 or 4, as the building is square-shaped.</p>
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<p>Dividing 4 by 2 = 2. So half of the building measures 2 square feet.</p>
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<p>Dividing 4 by 2 = 2. So half of the building measures 2 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 √(12/3) x 5.</p>
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<p>Calculate √(12/3) 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>10</p>
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<p>10</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 12/3, which is √4 = 2.</p>
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<p>The first step is to find the square root of 12/3, which is √4 = 2.</p>
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<p>The next step is to multiply 2 by 5.</p>
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<p>The next step is to multiply 2 by 5.</p>
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<p>So 2 x 5 = 10.</p>
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<p>So 2 x 5 = 10.</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 (12/3 + 6)?</p>
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<p>What will be the square root of (12/3 + 6)?</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 √10.</p>
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<p>The square root is √10.</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, first calculate the sum of (12/3 + 6). 12/3 simplifies to 4, and 4 + 6 = 10.</p>
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<p>To find the square root, first calculate the sum of (12/3 + 6). 12/3 simplifies to 4, and 4 + 6 = 10.</p>
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<p>The square root of 10 is approximately ±3.162.</p>
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<p>The square root of 10 is approximately ±3.162.</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 √(12/3) 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 √(12/3) 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 10 units.</p>
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<p>We find the perimeter of the rectangle as 10 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 × (√4 + 3) = 2 × (2 + 3) = 2 × 5 = 10 units.</p>
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<p>Perimeter = 2 × (√4 + 3) = 2 × (2 + 3) = 2 × 5 = 10 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 12/3</h2>
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<h2>FAQ on Square Root of 12/3</h2>
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<h3>1.What is √(12/3) in its simplest form?</h3>
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<h3>1.What is √(12/3) in its simplest form?</h3>
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<p>The prime factorization of 4 is 2 x 2, so the simplest form of √(12/3) = √4 = 2.</p>
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<p>The prime factorization of 4 is 2 x 2, so the simplest form of √(12/3) = √4 = 2.</p>
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<h3>2.Mention the factors of 12/3.</h3>
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<h3>2.Mention the factors of 12/3.</h3>
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<p>12/3 simplifies to 4. Factors of 4 are 1, 2, and 4.</p>
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<p>12/3 simplifies to 4. Factors of 4 are 1, 2, and 4.</p>
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<h3>3.Calculate the square of 12/3.</h3>
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<h3>3.Calculate the square of 12/3.</h3>
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<p>We get the square of 12/3 by squaring the simplified number, that is 4 x 4 = 16.</p>
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<p>We get the square of 12/3 by squaring the simplified number, that is 4 x 4 = 16.</p>
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<h3>4.Is 12/3 a prime number?</h3>
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<h3>4.Is 12/3 a prime number?</h3>
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<p>12/3 simplifies to 4, which is not a<a>prime number</a>, as it has more than two factors.</p>
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<p>12/3 simplifies to 4, which is not a<a>prime number</a>, as it has more than two factors.</p>
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<h3>5.12/3 is divisible by?</h3>
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<h3>5.12/3 is divisible by?</h3>
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<p>12/3 simplifies to 4, which is divisible by 1, 2, and 4.</p>
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<p>12/3 simplifies to 4, which is divisible by 1, 2, and 4.</p>
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<h2>Important Glossaries for the Square Root of 12/3</h2>
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<h2>Important Glossaries for the Square Root of 12/3</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, which 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, which is √16 = 4.</li>
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</ul><ul><li><strong>Rational number:</strong>A rational number is a number that can be expressed 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>Rational number:</strong>A rational number is a number that can be expressed 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>Perfect square:</strong>A perfect square is a number that is the square of an integer. For example, 4, 9, and 16 are perfect squares.</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, 4, 9, and 16 are perfect squares.</li>
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</ul><ul><li><strong>Prime factorization:</strong>Prime factorization is the process of expressing a number as the product of its prime numbers.</li>
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</ul><ul><li><strong>Prime factorization:</strong>Prime factorization is the process of expressing a number as the product of its prime numbers.</li>
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</ul><ul><li><strong>Approximation:</strong>Approximation involves finding a value close to the exact answer. For example, the square root of 10 is approximately 3.162.</li>
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</ul><ul><li><strong>Approximation:</strong>Approximation involves finding a value close to the exact answer. For example, the square root of 10 is approximately 3.162.</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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<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>