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2026-01-01
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<p>429 Learners</p>
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<p>474 Learners</p>
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<p>Last updated on<strong>October 23, 2025</strong></p>
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<p>Last updated on<strong>October 23, 2025</strong></p>
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<p>When someone asks you to explain a square root, you can just tell that it is a number when multiplied by itself produces the same number. As we continue with our explanation, let’s assume the value of 88 Here 88 is considered as a non-perfect square root since it contain either decimal or fraction. Let's learn more about square roots in this article.</p>
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<p>When someone asks you to explain a square root, you can just tell that it is a number when multiplied by itself produces the same number. As we continue with our explanation, let’s assume the value of 88 Here 88 is considered as a non-perfect square root since it contain either decimal or fraction. Let's learn more about square roots in this article.</p>
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<h2>What is the square root of 88?</h2>
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<h2>What is the square root of 88?</h2>
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<p>The<a>square</a>root of 88 can be easily found out by using<a>long division</a>method. In which it is discovered that the cumulative approximation of √88 is 9.165. </p>
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<p>The<a>square</a>root of 88 can be easily found out by using<a>long division</a>method. In which it is discovered that the cumulative approximation of √88 is 9.165. </p>
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<h2>Finding the square root of 88.</h2>
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<h2>Finding the square root of 88.</h2>
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<p>There are many ways through which students can find square roots, and some of these methods are very popular. Some of the methods have been explained in detail below.</p>
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<p>There are many ways through which students can find square roots, and some of these methods are very popular. Some of the methods have been explained in detail below.</p>
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<h3>Square root of 88 using the prime factorization method.</h3>
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<h3>Square root of 88 using the prime factorization method.</h3>
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<p>In this method, we decompose the<a>number</a>into its<a>prime factors</a>.</p>
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<p>In this method, we decompose the<a>number</a>into its<a>prime factors</a>.</p>
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<p>Prime factorization of 88: 88=2×2×2×11</p>
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<p>Prime factorization of 88: 88=2×2×2×11</p>
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<p>Since not all prime factors can be paired, 88 cannot be simplified into a<a>perfect square</a>. Therefore, the<a>square root</a>of 88 cannot be expressed in a simple radical form. </p>
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<p>Since not all prime factors can be paired, 88 cannot be simplified into a<a>perfect square</a>. Therefore, the<a>square root</a>of 88 cannot be expressed in a simple radical form. </p>
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<h3>Square root of 88 using the division method.</h3>
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<h3>Square root of 88 using the division method.</h3>
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<p>For non-perfect squares, we often use the nearest perfect square to estimate the square root. Follow these steps:</p>
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<p>For non-perfect squares, we often use the nearest perfect square to estimate the square root. Follow these steps:</p>
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<p><strong>Step 1:</strong>Write the number 88 to perform long<a>division</a>.</p>
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<p><strong>Step 1:</strong>Write the number 88 to perform long<a>division</a>.</p>
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<p><strong>Step 2:</strong>Identify a perfect square number that is<a>less than</a>or equal to 88. For 88, that number is 81 (92).</p>
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<p><strong>Step 2:</strong>Identify a perfect square number that is<a>less than</a>or equal to 88. For 88, that number is 81 (92).</p>
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<p><strong>Step 3</strong>: Divide 88 by 9. The<a>remainder</a>will be 7, and the<a>quotient</a>will be 9.</p>
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<p><strong>Step 3</strong>: Divide 88 by 9. The<a>remainder</a>will be 7, and the<a>quotient</a>will be 9.</p>
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<p><strong>Step 4:</strong>Bring down the remainder (7) and append two zeros. Add a<a>decimal</a>point to the quotient, making it 9.0.</p>
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<p><strong>Step 4:</strong>Bring down the remainder (7) and append two zeros. Add a<a>decimal</a>point to the quotient, making it 9.0.</p>
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<p><strong>Step 5:</strong>Double the quotient to use as the new<a>divisor</a>, which gives 18.</p>
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<p><strong>Step 5:</strong>Double the quotient to use as the new<a>divisor</a>, which gives 18.</p>
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<p><strong>Step 6:</strong>Select a number that, when multiplied by the new divisor, results in a<a>product</a>less than or equal to 700.</p>
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<p><strong>Step 6:</strong>Select a number that, when multiplied by the new divisor, results in a<a>product</a>less than or equal to 700.</p>
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<p><strong>Step 7:</strong>Continue the division process to find √88 to the desired decimal places. → √88 ≈ 9.380. </p>
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<p><strong>Step 7:</strong>Continue the division process to find √88 to the desired decimal places. → √88 ≈ 9.380. </p>
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<h3>Square root of 88 using the approximation method</h3>
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<h3>Square root of 88 using the approximation method</h3>
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<p>In the approximation method, we estimate the square root by identifying the closest perfect squares surrounding the number.</p>
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<p>In the approximation method, we estimate the square root by identifying the closest perfect squares surrounding the number.</p>
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<p>Step 1: The nearest perfect squares to 88 are √100 = 10 and √81 = 9.</p>
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<p>Step 1: The nearest perfect squares to 88 are √100 = 10 and √81 = 9.</p>
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<p>Step 2: Since 88 is between 100 and 81, we know the square root will be between 10 and 9.</p>
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<p>Step 2: Since 88 is between 100 and 81, we know the square root will be between 10 and 9.</p>
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<p>Step 3: By testing numbers like 9.3, 9.4 and further, we find that √86 ≈ 9.380. </p>
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<p>Step 3: By testing numbers like 9.3, 9.4 and further, we find that √86 ≈ 9.380. </p>
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<h2>Common mistakes when finding the square root of 88.</h2>
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<h2>Common mistakes when finding the square root of 88.</h2>
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<p>Here are some common mistakes students should avoid while learning to calculate the square root of 88. </p>
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<p>Here are some common mistakes students should avoid while learning to calculate the square root of 88. </p>
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<h2>Download Worksheets</h2>
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<h3>Problem 1</h3>
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<h3>Problem 1</h3>
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<p>What is the square root of a negative number like √-16?</p>
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<p>What is the square root of a negative number like √-16?</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 of √-16 is 4i </p>
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<p>→The square root of √-16 is 4i </p>
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<h3>Explanation</h3>
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<h3>Explanation</h3>
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<p>Since √-16= √-16 × √-1, where √-1= i (i is an imaginary number). Hence, the square root of √-16 is 4i. </p>
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<p>Since √-16= √-16 × √-1, where √-1= i (i is an imaginary number). Hence, the square root of √-16 is 4i. </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>Find x²+8, let x = √144.</p>
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<p>Find x²+8, let x = √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>x=144 ≈ 12 x2=144 x2+8=144+8= 152 </p>
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<p>x=144 ≈ 12 x2=144 x2+8=144+8= 152 </p>
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<h3>Explanation</h3>
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<h3>Explanation</h3>
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<p>Since √144 is equal to x and as we can see that x is square, hence when we square a root number it cancels out the root. Therefore, 144 + 8 = 152. </p>
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<p>Since √144 is equal to x and as we can see that x is square, hence when we square a root number it cancels out the root. Therefore, 144 + 8 = 152. </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>Simplify √72 ÷ √8.</p>
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<p>Simplify √72 ÷ √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>= √72 ÷ √8</p>
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<p>= √72 ÷ √8</p>
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<p>= √9</p>
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<p>= √9</p>
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<p>= 3 </p>
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<p>= 3 </p>
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<h3>Explanation</h3>
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<h3>Explanation</h3>
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<p>Using the property of the division method, we get √9, and the square root of 9 is ±3. . </p>
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<p>Using the property of the division method, we get √9, and the square root of 9 is ±3. . </p>
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<p>Well explained 👍</p>
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<p>Well explained 👍</p>
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<h2>FAQs on the square root of 88.</h2>
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<h2>FAQs on the square root of 88.</h2>
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<h3>1.How do you simplify 3√98?</h3>
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<h3>1.How do you simplify 3√98?</h3>
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<p>3√98 can be simplified to 21√2, as we can express √98 as 7√2. 3 × 7 is equal to 21 hence it will be written as 21√2. </p>
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<p>3√98 can be simplified to 21√2, as we can express √98 as 7√2. 3 × 7 is equal to 21 hence it will be written as 21√2. </p>
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<h3>2. Is 88 a prime number?</h3>
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<h3>2. Is 88 a prime number?</h3>
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<p>No, If we use long division on 88 we get to know that it has divisors more than just 1 and itself, so it is not a<a>prime number</a>. It also has its own prime factors. </p>
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<p>No, If we use long division on 88 we get to know that it has divisors more than just 1 and itself, so it is not a<a>prime number</a>. It also has its own prime factors. </p>
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<h3>3.10 is the square root of what number?</h3>
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<h3>3.10 is the square root of what number?</h3>
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<p> To find out what number 10 is the square root of, we need to multiply the number 10 with itself, the resulting number would be the answer in this case 10 × 10 is equal to 100. </p>
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<p> To find out what number 10 is the square root of, we need to multiply the number 10 with itself, the resulting number would be the answer in this case 10 × 10 is equal to 100. </p>
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<h3>4.What is the square root of 64?</h3>
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<h3>4.What is the square root of 64?</h3>
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<p>By applying the long division method on 64 we get to know that 8 divides 64 to 0 using 8 meaning 8 × 8 is equal to 64, which makes 8 the square root of 64. </p>
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<p>By applying the long division method on 64 we get to know that 8 divides 64 to 0 using 8 meaning 8 × 8 is equal to 64, which makes 8 the square root of 64. </p>
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<h3>5.What is cube root?</h3>
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<h3>5.What is cube root?</h3>
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<p>The<a>cube root</a>of a number is a number which when obtained by multiplying it with itself three times gives the resultant of the initial number. For example, the cube root of 27 is 3 as 3 × 3 × 3 = 27. </p>
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<p>The<a>cube root</a>of a number is a number which when obtained by multiplying it with itself three times gives the resultant of the initial number. For example, the cube root of 27 is 3 as 3 × 3 × 3 = 27. </p>
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<h2>Important Glossaries for Square Root of 88.</h2>
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<h2>Important Glossaries for Square Root of 88.</h2>
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<ul><li><strong>Square Root:</strong>A number which when is multiplied by itself gives the original number is called a square root.</li>
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<ul><li><strong>Square Root:</strong>A number which when is multiplied by itself gives the original number is called a square root.</li>
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</ul><ul><li><strong>Perfect Square:</strong>A number that is the integral square of an integer I such that n = I², example I = 1, 2, 3, n = 1, 4, 9, 16, etc.</li>
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</ul><ul><li><strong>Perfect Square:</strong>A number that is the integral square of an integer I such that n = I², example I = 1, 2, 3, n = 1, 4, 9, 16, etc.</li>
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</ul><ul><li><strong>Prime Factorization: T</strong>he ability to factorize a number in to the product of the basic arithmetic numbers, also known as primary numbers.</li>
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</ul><ul><li><strong>Prime Factorization: T</strong>he ability to factorize a number in to the product of the basic arithmetic numbers, also known as primary numbers.</li>
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</ul><ul><li><strong>Non-Perfect Square:</strong>A figure that cannot be converted into an integer figure once divided by itself (e.g., 76).</li>
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</ul><ul><li><strong>Non-Perfect Square:</strong>A figure that cannot be converted into an integer figure once divided by itself (e.g., 76).</li>
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</ul><ul><li><strong>Approximation Method:</strong>Approximating square root, that is, finding the closest integer which, when squared, yields the number being approximated.</li>
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</ul><ul><li><strong>Approximation Method:</strong>Approximating square root, that is, finding the closest integer which, when squared, yields the number being approximated.</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>