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2026-01-01
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2026-02-28
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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 itself, the result is a square. The inverse operation is finding the square root. The square root is used in various fields such as vehicle design and finance. Here, we will discuss the square root of 1/144.</p>
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<p>If a number is multiplied by itself, the result is a square. The inverse operation is finding the square root. The square root is used in various fields such as vehicle design and finance. Here, we will discuss the square root of 1/144.</p>
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<h2>What is the Square Root of 1/144?</h2>
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<h2>What is the Square Root of 1/144?</h2>
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<p>The<a>square</a>root is the inverse of squaring a<a>number</a>. 1/144 is a<a>perfect square</a>. The square root of 1/144 can be expressed in both radical and<a>exponential form</a>. In the radical form, it is expressed as √(1/144), whereas in exponential form, it is (1/144)^(1/2). √(1/144) = 1/12, 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 squaring a<a>number</a>. 1/144 is a<a>perfect square</a>. The square root of 1/144 can be expressed in both radical and<a>exponential form</a>. In the radical form, it is expressed as √(1/144), whereas in exponential form, it is (1/144)^(1/2). √(1/144) = 1/12, 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 1/144</h2>
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<h2>Finding the Square Root of 1/144</h2>
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<p>The<a>prime factorization</a>method is used for perfect square numbers. Since 1/144 is a perfect square, we can use the prime factorization method to find its<a>square root</a>.</p>
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<p>The<a>prime factorization</a>method is used for perfect square numbers. Since 1/144 is a perfect square, we can use the prime factorization method to find its<a>square root</a>.</p>
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<h3>Square Root of 1/144 by Prime Factorization Method</h3>
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<h3>Square Root of 1/144 by Prime Factorization Method</h3>
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<p>The prime factorization of a number involves expressing it as a<a>product</a>of prime<a>factors</a>. Let's see how 144 is broken down into its prime factors:</p>
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<p>The prime factorization of a number involves expressing it as a<a>product</a>of prime<a>factors</a>. Let's see how 144 is broken down into its prime factors:</p>
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<p><strong>Step 1:</strong>Finding the prime factors of 144 Breaking it down, we get 2 x 2 x 2 x 2 x 3 x 3: 2^4 x 3^2</p>
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<p><strong>Step 1:</strong>Finding the prime factors of 144 Breaking it down, we get 2 x 2 x 2 x 2 x 3 x 3: 2^4 x 3^2</p>
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<p><strong>Step 2:</strong>Now that we have found the prime factors of 144, the next step is to find the square root. Since 144 is a perfect square, we can take the square root of each pair of prime factors. √(1/144) = 1/√144 = 1/(2^2 x 3) = 1/12</p>
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<p><strong>Step 2:</strong>Now that we have found the prime factors of 144, the next step is to find the square root. Since 144 is a perfect square, we can take the square root of each pair of prime factors. √(1/144) = 1/√144 = 1/(2^2 x 3) = 1/12</p>
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<h3>Square Root of 1/144 by Long Division Method</h3>
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<h3>Square Root of 1/144 by Long Division Method</h3>
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<p>The<a>long division</a>method can also be used to find the square root of perfect squares. Let's find the square root of 1/144 using the long division method:</p>
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<p>The<a>long division</a>method can also be used to find the square root of perfect squares. Let's find the square root of 1/144 using the long division method:</p>
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<p><strong>Step 1:</strong>Group the digits of 144 from right to left. Since 144 is a perfect square, we can directly find the square root by dividing 144 by 12.</p>
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<p><strong>Step 1:</strong>Group the digits of 144 from right to left. Since 144 is a perfect square, we can directly find the square root by dividing 144 by 12.</p>
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<p><strong>Step 2:</strong>Divide 144 by 12 to get the<a>quotient</a>, which is the square root.</p>
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<p><strong>Step 2:</strong>Divide 144 by 12 to get the<a>quotient</a>, which is the square root.</p>
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<p><strong>Step 3:</strong>The result of the division is 12, and since we are finding the square root of 1/144, the answer is 1/12.</p>
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<p><strong>Step 3:</strong>The result of the division is 12, and since we are finding the square root of 1/144, the answer is 1/12.</p>
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<h3>Square Root of 1/144 by Approximation Method</h3>
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<h3>Square Root of 1/144 by Approximation Method</h3>
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<p>Approximation is another method for finding square roots, especially useful for non-perfect squares. However, since 1/144 is a perfect square, we can easily find the square root without approximation.</p>
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<p>Approximation is another method for finding square roots, especially useful for non-perfect squares. However, since 1/144 is a perfect square, we can easily find the square root without approximation.</p>
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<p><strong>Step 1:</strong>Identify the closest perfect square to 144, which is 144 itself.</p>
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<p><strong>Step 1:</strong>Identify the closest perfect square to 144, which is 144 itself.</p>
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<p><strong>Step 2:</strong>The square root of 144 is 12, so the square root of 1/144 is 1/12.</p>
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<p><strong>Step 2:</strong>The square root of 144 is 12, so the square root of 1/144 is 1/12.</p>
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<h2>Common Mistakes and How to Avoid Them in the Square Root of 1/144</h2>
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<h2>Common Mistakes and How to Avoid Them in the Square Root of 1/144</h2>
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<p>Students may make mistakes while finding the square root, such as forgetting about the negative square root or not simplifying fractions correctly. Let's look at a few common mistakes in detail.</p>
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<p>Students may make mistakes while finding the square root, such as forgetting about the negative square root or not simplifying fractions correctly. Let's look at a few common mistakes 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 side length of a square box if its area is given as 1/144 square units?</p>
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<p>Can you help Max find the side length of a square box if its area is given as 1/144 square 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 side length of the square box is 1/12 units.</p>
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<p>The side length of the square box is 1/12 units.</p>
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<h3>Explanation</h3>
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<h3>Explanation</h3>
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<p>The side length of a square is the square root of its area. Therefore, the side length is √(1/144) = 1/12 units.</p>
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<p>The side length of a square is the square root of its area. Therefore, the side length is √(1/144) = 1/12 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>If a square-shaped field measures 1/144 square meters, what will be the perimeter of the field?</p>
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<p>If a square-shaped field measures 1/144 square meters, what will be the perimeter of the field?</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 field is 1/3 meters.</p>
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<p>The perimeter of the field is 1/3 meters.</p>
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<h3>Explanation</h3>
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<h3>Explanation</h3>
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<p>To find the perimeter, calculate the side length, which is the square root of the area:</p>
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<p>To find the perimeter, calculate the side length, which is the square root of the area:</p>
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<p>√(1/144) = 1/12.</p>
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<p>√(1/144) = 1/12.</p>
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<p>Perimeter = 4 × side length = 4 × (1/12) = 1/3 meters.</p>
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<p>Perimeter = 4 × side length = 4 × (1/12) = 1/3 meters.</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 √(1/144) × 6.</p>
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<p>Calculate √(1/144) × 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>0.5</p>
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<p>0.5</p>
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<h3>Explanation</h3>
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<h3>Explanation</h3>
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<p>First, find the square root of 1/144, which is 1/12. Then multiply 1/12 by 6: 1/12 × 6 = 6/12 = 0.5</p>
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<p>First, find the square root of 1/144, which is 1/12. Then multiply 1/12 by 6: 1/12 × 6 = 6/12 = 0.5</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 (1/144 + 1/144)?</p>
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<p>What will be the square root of (1/144 + 1/144)?</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 1/6.</p>
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<p>The square root is 1/6.</p>
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<h3>Explanation</h3>
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<h3>Explanation</h3>
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<p>First, find the sum of (1/144 + 1/144) = 2/144 = 1/72. Then find the square root: √(1/72) = 1/√72 = 1/(√(36 × 2)) = 1/(6√2). Simplifying further, we get approximately 1/6.</p>
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<p>First, find the sum of (1/144 + 1/144) = 2/144 = 1/72. Then find the square root: √(1/72) = 1/√72 = 1/(√(36 × 2)) = 1/(6√2). Simplifying further, we get approximately 1/6.</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 a rectangle if its length 'l' is 1/12 units and the width 'w' is 1 unit.</p>
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<p>Find the perimeter of a rectangle if its length 'l' is 1/12 units and the width 'w' is 1 unit.</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 26/12 units or 2.1667 units.</p>
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<p>The perimeter of the rectangle is 26/12 units or 2.1667 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 × (1/12 + 1) = 2 × (1/12 + 12/12) = 2 × (13/12) = 26/12 units.</p>
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<p>Perimeter of the rectangle = 2 × (length + width) Perimeter = 2 × (1/12 + 1) = 2 × (1/12 + 12/12) = 2 × (13/12) = 26/12 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 1/144</h2>
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<h2>FAQ on Square Root of 1/144</h2>
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<h3>1.What is √(1/144) in its simplest form?</h3>
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<h3>1.What is √(1/144) in its simplest form?</h3>
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<p>The simplest form of √(1/144) is 1/12.</p>
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<p>The simplest form of √(1/144) is 1/12.</p>
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<h3>2.Mention the factors of 144.</h3>
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<h3>2.Mention the factors of 144.</h3>
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<p>Factors of 144 are 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, and 144.</p>
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<p>Factors of 144 are 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, and 144.</p>
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<h3>3.Calculate the square of 1/12.</h3>
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<h3>3.Calculate the square of 1/12.</h3>
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<p>The square of 1/12 is (1/12) × (1/12) = 1/144.</p>
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<p>The square of 1/12 is (1/12) × (1/12) = 1/144.</p>
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<h3>4.Is 144 a perfect square?</h3>
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<h3>4.Is 144 a perfect square?</h3>
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<p>Yes, 144 is a perfect square because it can be expressed as 12 × 12.</p>
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<p>Yes, 144 is a perfect square because it can be expressed as 12 × 12.</p>
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<h3>5.Is 1/144 a rational number?</h3>
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<h3>5.Is 1/144 a rational number?</h3>
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<p>Yes, 1/144 is a rational number because it can be expressed as a fraction of two integers.</p>
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<p>Yes, 1/144 is a rational number because it can be expressed as a fraction of two integers.</p>
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<h2>Important Glossaries for the Square Root of 1/144</h2>
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<h2>Important Glossaries for the Square Root of 1/144</h2>
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<ul><li><strong>Square root</strong>: A square root is the inverse operation of squaring a number. For example, the square root of 16 is 4 because 4 × 4 = 16.</li>
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<ul><li><strong>Square root</strong>: A square root is the inverse operation of squaring a number. For example, the square root of 16 is 4 because 4 × 4 = 16.</li>
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</ul><ul><li><strong>Rational number:</strong>A rational number is a number that can be expressed as a fraction p/q, where p and q are integers and q is not zero.</li>
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</ul><ul><li><strong>Rational number:</strong>A rational number is a number that can be expressed as a fraction p/q, where p and q are integers and q is not zero.</li>
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</ul><ul><li><strong>Perfect square:</strong>A perfect square is an integer that is the square of an integer. For example, 144 is a perfect square because it is 12 × 12.</li>
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</ul><ul><li><strong>Perfect square:</strong>A perfect square is an integer that is the square of an integer. For example, 144 is a perfect square because it is 12 × 12.</li>
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</ul><ul><li><strong>Fraction:</strong>A fraction represents a part of a whole or, more generally, any number of equal parts. It is expressed as p/q, where p and q are integers, and q is not zero.</li>
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</ul><ul><li><strong>Fraction:</strong>A fraction represents a part of a whole or, more generally, any number of equal parts. It is expressed as p/q, where p and q are integers, and q is not zero.</li>
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</ul><ul><li><strong>Perimeter:</strong>The perimeter is the total length around a two-dimensional shape. For a rectangle, it is calculated as 2 × (length + width).</li>
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</ul><ul><li><strong>Perimeter:</strong>The perimeter is the total length around a two-dimensional shape. For a rectangle, it is calculated as 2 × (length + width).</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>