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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 of the square is a square root. The square root is used in various fields such as engineering, physics, and finance. Here, we will discuss the square root of 7/8.</p>
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<p>If a number is multiplied by itself, the result is a square. The inverse of the square is a square root. The square root is used in various fields such as engineering, physics, and finance. Here, we will discuss the square root of 7/8.</p>
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<h2>What is the Square Root of 7/8?</h2>
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<h2>What is the Square Root of 7/8?</h2>
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<p>The<a>square</a>root is the inverse<a>of</a>the square of a<a>number</a>. Since 7/8 is a<a>fraction</a>, we express its square root in both radical and<a>exponential form</a>. In the radical form, it is expressed as √(7/8), whereas (7/8)^(1/2) in the exponential form. The square root of 7/8 is approximately 0.935414, which is an<a>irrational number</a>because it cannot be expressed exactly as a fraction 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<a>of</a>the square of a<a>number</a>. Since 7/8 is a<a>fraction</a>, we express its square root in both radical and<a>exponential form</a>. In the radical form, it is expressed as √(7/8), whereas (7/8)^(1/2) in the exponential form. The square root of 7/8 is approximately 0.935414, which is an<a>irrational number</a>because it cannot be expressed exactly as a fraction p/q, where p and q are<a>integers</a>and q ≠ 0.</p>
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<h2>Finding the Square Root of 7/8</h2>
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<h2>Finding the Square Root of 7/8</h2>
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<p>The<a>square root</a>of fractions can be found using various methods such as simplifying the fraction, using the<a>prime factorization</a>for integers, or approximation methods for non-<a>perfect squares</a>. For 7/8, we will consider the following methods: Simplification method Approximation method</p>
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<p>The<a>square root</a>of fractions can be found using various methods such as simplifying the fraction, using the<a>prime factorization</a>for integers, or approximation methods for non-<a>perfect squares</a>. For 7/8, we will consider the following methods: Simplification method Approximation method</p>
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<h2>Square Root of 7/8 by Simplification Method</h2>
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<h2>Square Root of 7/8 by Simplification Method</h2>
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<p>To find the square root of a fraction, take the square root of the<a>numerator</a>and the<a>denominator</a>separately:</p>
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<p>To find the square root of a fraction, take the square root of the<a>numerator</a>and the<a>denominator</a>separately:</p>
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<p><strong>Step 1:</strong>Express 7/8 as a fraction.</p>
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<p><strong>Step 1:</strong>Express 7/8 as a fraction.</p>
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<p><strong>Step 2:</strong>Find the square roots: √7 and √8.</p>
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<p><strong>Step 2:</strong>Find the square roots: √7 and √8.</p>
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<p><strong>Step 3:</strong>The square root of the fraction is √(7/8) = √7 / √8.</p>
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<p><strong>Step 3:</strong>The square root of the fraction is √(7/8) = √7 / √8.</p>
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<p><strong>Step 4:</strong>Simplify the<a>expression</a>: (√7) / (√8) = (√7 * √2) / (√8 * √2) = √14 / 4.</p>
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<p><strong>Step 4:</strong>Simplify the<a>expression</a>: (√7) / (√8) = (√7 * √2) / (√8 * √2) = √14 / 4.</p>
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<p>This process gives us an approximate expression for the square root of 7/8.</p>
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<p>This process gives us an approximate expression for the square root of 7/8.</p>
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<h2>Square Root of 7/8 by Approximation Method</h2>
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<h2>Square Root of 7/8 by Approximation Method</h2>
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<p>The approximation method is useful for finding the square roots of non-perfect squares or fractions. Here's how to approximate the square root of 7/8:</p>
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<p>The approximation method is useful for finding the square roots of non-perfect squares or fractions. Here's how to approximate the square root of 7/8:</p>
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<p><strong>Step 1:</strong>Calculate the<a>decimal</a>form of 7/8, which is 0.875.</p>
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<p><strong>Step 1:</strong>Calculate the<a>decimal</a>form of 7/8, which is 0.875.</p>
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<p><strong>Step 2:</strong>Identify the perfect squares closest to 0.875. The closest perfect squares are 0.81 (which is 0.9^2) and 0.84 (which is 0.916^2).</p>
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<p><strong>Step 2:</strong>Identify the perfect squares closest to 0.875. The closest perfect squares are 0.81 (which is 0.9^2) and 0.84 (which is 0.916^2).</p>
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<p><strong>Step 3:</strong>The square root of 0.875 is between 0.9 and 0.916. Using interpolation or a<a>calculator</a>, approximate √0.875 ≈ 0.935414.</p>
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<p><strong>Step 3:</strong>The square root of 0.875 is between 0.9 and 0.916. Using interpolation or a<a>calculator</a>, approximate √0.875 ≈ 0.935414.</p>
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<p>Thus, the square root of 7/8 is approximately 0.935414.</p>
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<p>Thus, the square root of 7/8 is approximately 0.935414.</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 length of the diagonal of a rectangle with sides 7/8 and 3/4?</p>
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<p>Can you help Max find the length of the diagonal of a rectangle with sides 7/8 and 3/4?</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 diagonal of the rectangle is approximately 1.14 units.</p>
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<p>The diagonal of the rectangle is approximately 1.14 units.</p>
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<h3>Explanation</h3>
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<h3>Explanation</h3>
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<p>The diagonal can be found using the Pythagorean theorem: d = √((7/8)^2 + (3/4)^2).</p>
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<p>The diagonal can be found using the Pythagorean theorem: d = √((7/8)^2 + (3/4)^2).</p>
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<p>Calculating gives: d ≈ √(0.765625 + 0.5625)</p>
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<p>Calculating gives: d ≈ √(0.765625 + 0.5625)</p>
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<p>= √1.328125</p>
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<p>= √1.328125</p>
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<p>≈ 1.14.</p>
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<p>≈ 1.14.</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 field has an area of 7/8 square meters. What is the side length of the field?</p>
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<p>A square field has an area of 7/8 square meters. What is the side length 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 side length of the square field is approximately 0.935414 meters.</p>
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<p>The side length of the square field is approximately 0.935414 meters.</p>
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<h3>Explanation</h3>
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<h3>Explanation</h3>
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<p>The side length is the square root of the area: s = √(7/8).</p>
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<p>The side length is the square root of the area: s = √(7/8).</p>
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<p>Calculating gives: s ≈ 0.935414 meters.</p>
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<p>Calculating gives: s ≈ 0.935414 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 5 times the square root of 7/8.</p>
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<p>Calculate 5 times the square root of 7/8.</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 4.67707</p>
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<p>Approximately 4.67707</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 7/8, which is approximately 0.935414. Then multiply by 5: 5 × 0.935414 = 4.67707.</p>
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<p>First, find the square root of 7/8, which is approximately 0.935414. Then multiply by 5: 5 × 0.935414 = 4.67707.</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 is the square root of the sum of 7/8 and 1/8?</p>
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<p>What is the square root of the sum of 7/8 and 1/8?</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.</p>
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<p>The square root is 1.</p>
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<h3>Explanation</h3>
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<h3>Explanation</h3>
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<p>First, find the sum: 7/8 + 1/8 = 1. The square root of 1 is 1.</p>
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<p>First, find the sum: 7/8 + 1/8 = 1. The square root of 1 is 1.</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 square if its area is 7/8 square units.</p>
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<p>Find the perimeter of a square if its area is 7/8 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>Approximately 3.741656 units.</p>
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<p>Approximately 3.741656 units.</p>
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<h3>Explanation</h3>
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<h3>Explanation</h3>
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<p>First, find the side: s = √(7/8) ≈ 0.935414.</p>
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<p>First, find the side: s = √(7/8) ≈ 0.935414.</p>
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<p>Then calculate the perimeter: 4 × s ≈ 4 × 0.935414 = 3.741656 units.</p>
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<p>Then calculate the perimeter: 4 × s ≈ 4 × 0.935414 = 3.741656 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 7/8</h2>
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<h2>FAQ on Square Root of 7/8</h2>
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<h3>1.What is √(7/8) in its simplest form?</h3>
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<h3>1.What is √(7/8) in its simplest form?</h3>
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<p>The square root of 7/8 in simplest form is √7 / √8, which can be further expressed as √14 / 4.</p>
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<p>The square root of 7/8 in simplest form is √7 / √8, which can be further expressed as √14 / 4.</p>
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<h3>2.Is 7/8 a perfect square?</h3>
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<h3>2.Is 7/8 a perfect square?</h3>
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<p>No, 7/8 is not a perfect square as its square root is an irrational number.</p>
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<p>No, 7/8 is not a perfect square as its square root is an irrational number.</p>
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<h3>3.Can 7/8 be expressed as a decimal?</h3>
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<h3>3.Can 7/8 be expressed as a decimal?</h3>
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<p>Yes, 7/8 can be expressed as 0.875 in decimal form.</p>
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<p>Yes, 7/8 can be expressed as 0.875 in decimal form.</p>
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<h3>4.Is the square root of 7/8 rational or irrational?</h3>
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<h3>4.Is the square root of 7/8 rational or irrational?</h3>
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<p>The square root of 7/8 is irrational because it cannot be expressed as a simple fraction.</p>
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<p>The square root of 7/8 is irrational because it cannot be expressed as a simple fraction.</p>
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<h3>5.How do you approximate the square root of 7/8?</h3>
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<h3>5.How do you approximate the square root of 7/8?</h3>
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<p>To approximate √(7/8), first convert 7/8 to decimal form, 0.875, and then find the square root using a calculator, approximating to 0.935414.</p>
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<p>To approximate √(7/8), first convert 7/8 to decimal form, 0.875, and then find the square root using a calculator, approximating to 0.935414.</p>
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<h2>Important Glossaries for the Square Root of 7/8</h2>
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<h2>Important Glossaries for the Square Root of 7/8</h2>
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<ul><li><strong>Square root:</strong>A square root of a number x is a number y such that y^2 = x. For example, the square root of 16 is 4, because 4^2 = 16. </li>
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<ul><li><strong>Square root:</strong>A square root of a number x is a number y such that y^2 = x. For example, the square root of 16 is 4, because 4^2 = 16. </li>
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<li><strong>Irrational number:</strong>An irrational number is a number that cannot be expressed as a fraction p/q, where p and q are integers, and q ≠ 0. </li>
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<li><strong>Irrational number:</strong>An irrational number is a number that cannot be expressed as a fraction p/q, where p and q are integers, and q ≠ 0. </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, like 7/8. </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, like 7/8. </li>
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<li><strong>Decimal:</strong>A decimal is a way of expressing numbers that have a whole number and a fractional part separated by a decimal point, such as 0.875. </li>
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<li><strong>Decimal:</strong>A decimal is a way of expressing numbers that have a whole number and a fractional part separated by a decimal point, such as 0.875. </li>
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<li><strong>Approximation:</strong>An approximation is a value or quantity that is nearly but not exactly correct, used to simplify complex calculations.</li>
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<li><strong>Approximation:</strong>An approximation is a value or quantity that is nearly but not exactly correct, used to simplify complex calculations.</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>