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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 the same number, 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, architecture, etc. Here, we will discuss the square root of 1156.</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 various fields such as engineering, architecture, etc. Here, we will discuss the square root of 1156.</p>
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<h2>What is the Square Root of 1156?</h2>
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<h2>What is the Square Root of 1156?</h2>
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<p>The<a>square</a>root is the inverse of the square of the<a>number</a>. 1156 is a<a>perfect square</a>. The square root of 1156 is expressed in both radical and<a>exponential form</a>. In the radical form, it is expressed as √1156, whereas in exponential form it is (1156)^(1/2). √1156 = 34, 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>. 1156 is a<a>perfect square</a>. The square root of 1156 is expressed in both radical and<a>exponential form</a>. In the radical form, it is expressed as √1156, whereas in exponential form it is (1156)^(1/2). √1156 = 34, 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 1156</h2>
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<h2>Finding the Square Root of 1156</h2>
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<p>The<a>prime factorization</a>method is commonly used for perfect square numbers. For perfect squares like 1156, both the prime factorization method and the direct calculation method are used as it is straightforward due to its perfect square nature. Let us now learn the following methods: Prime factorization method Direct calculation</p>
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<p>The<a>prime factorization</a>method is commonly used for perfect square numbers. For perfect squares like 1156, both the prime factorization method and the direct calculation method are used as it is straightforward due to its perfect square nature. Let us now learn the following methods: Prime factorization method Direct calculation</p>
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<h2>Square Root of 1156 by Prime Factorization Method</h2>
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<h2>Square Root of 1156 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 1156 is broken down into its prime factors: Step 1: Finding the prime factors of 1156 Breaking it down, we get 2 x 2 x 17 x 17: 2² x 17² Step 2: Now we found out the prime factors of 1156. The second step is to take one number from each pair of the same prime factor. Therefore, the<a>square root</a>of 1156 is 2 x 17 = 34.</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 1156 is broken down into its prime factors: Step 1: Finding the prime factors of 1156 Breaking it down, we get 2 x 2 x 17 x 17: 2² x 17² Step 2: Now we found out the prime factors of 1156. The second step is to take one number from each pair of the same prime factor. Therefore, the<a>square root</a>of 1156 is 2 x 17 = 34.</p>
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<h2>Square Root of 1156 by Direct Calculation</h2>
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<h2>Square Root of 1156 by Direct Calculation</h2>
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<p>For perfect squares, the direct calculation method is often the quickest. In this method, we recognize that 1156 is a perfect square: Step 1: We know that 34 x 34 = 1156. Step 2: Thus, the square root of 1156 is 34.</p>
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<p>For perfect squares, the direct calculation method is often the quickest. In this method, we recognize that 1156 is a perfect square: Step 1: We know that 34 x 34 = 1156. Step 2: Thus, the square root of 1156 is 34.</p>
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<h2>Common Mistakes and How to Avoid Them in Finding the Square Root of 1156</h2>
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<h2>Common Mistakes and How to Avoid Them in Finding the Square Root of 1156</h2>
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<p>Mistakes can occur when finding the square root, such as miscalculating prime factors or misunderstanding the nature of perfect squares. Let's explore some common errors and how to avoid them.</p>
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<p>Mistakes can occur when finding the square root, such as miscalculating prime factors or misunderstanding the nature of perfect squares. Let's explore some common errors and how to avoid them.</p>
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<h2>Common Mistakes and How to Avoid Them in the Square Root of 1156</h2>
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<h2>Common Mistakes and How to Avoid Them in the Square Root of 1156</h2>
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<p>Students often make errors while finding the square root, such as ignoring the perfect square nature of the number. Let's review a few common mistakes in detail.</p>
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<p>Students often make errors while finding the square root, such as ignoring the perfect square nature of the number. Let's review a few common mistakes in detail.</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>Can you help Max find the area of a square box if its side length is given as √1156?</p>
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<p>Can you help Max find the area of a square box if its side length is given as √1156?</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 1156 square units.</p>
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<p>The area of the square is 1156 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 = side². The side length is given as √1156. Area of the square = side² = √1156 x √1156 = 34 x 34 = 1156. Therefore, the area of the square box is 1156 square units.</p>
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<p>The area of the square = side². The side length is given as √1156. Area of the square = side² = √1156 x √1156 = 34 x 34 = 1156. Therefore, the area of the square box is 1156 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 1156 square feet is built; if each of the sides is √1156, what will be the square feet of half of the building?</p>
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<p>A square-shaped building measuring 1156 square feet is built; if each of the sides is √1156, 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>578 square feet</p>
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<p>578 square feet</p>
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<h3>Explanation</h3>
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<h3>Explanation</h3>
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<p>We can divide the given area by 2 as the building is square-shaped. Dividing 1156 by 2, we get 578. So half of the building measures 578 square feet.</p>
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<p>We can divide the given area by 2 as the building is square-shaped. Dividing 1156 by 2, we get 578. So half of the building measures 578 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 √1156 x 5.</p>
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<p>Calculate √1156 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>170</p>
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<p>170</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 1156, which is 34. The second step is to multiply 34 by 5. So 34 x 5 = 170.</p>
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<p>The first step is to find the square root of 1156, which is 34. The second step is to multiply 34 by 5. So 34 x 5 = 170.</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 (1156 + 44)?</p>
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<p>What will be the square root of (1156 + 44)?</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 36</p>
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<p>The square root is 36</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 (1156 + 44). 1156 + 44 = 1200, and then √1200 is approximately 34.64. Therefore, the square root of (1156 + 44) is approximately 34.64.</p>
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<p>To find the square root, we need to find the sum of (1156 + 44). 1156 + 44 = 1200, and then √1200 is approximately 34.64. Therefore, the square root of (1156 + 44) is approximately 34.64.</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 √1156 units and the width ‘w’ is 20 units.</p>
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<p>Find the perimeter of the rectangle if its length ‘l’ is √1156 units and the width ‘w’ is 20 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 108 units.</p>
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<p>The perimeter of the rectangle is 108 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 × (√1156 + 20) = 2 × (34 + 20) = 2 × 54 = 108 units.</p>
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<p>Perimeter of the rectangle = 2 × (length + width). Perimeter = 2 × (√1156 + 20) = 2 × (34 + 20) = 2 × 54 = 108 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 1156</h2>
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<h2>FAQ on Square Root of 1156</h2>
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<h3>1.What is √1156 in its simplest form?</h3>
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<h3>1.What is √1156 in its simplest form?</h3>
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<p>The prime factorization of 1156 is 2² x 17², so the simplest form of √1156 = √(2² x 17²) = 34.</p>
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<p>The prime factorization of 1156 is 2² x 17², so the simplest form of √1156 = √(2² x 17²) = 34.</p>
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<h3>2.Mention the factors of 1156.</h3>
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<h3>2.Mention the factors of 1156.</h3>
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<p>Factors of 1156 are 1, 2, 4, 17, 34, 68, 289, 578, and 1156.</p>
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<p>Factors of 1156 are 1, 2, 4, 17, 34, 68, 289, 578, and 1156.</p>
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<h3>3.Calculate the square of 1156.</h3>
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<h3>3.Calculate the square of 1156.</h3>
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<p>We get the square of 1156 by multiplying the number by itself, which is 1156 x 1156 = 1,336,336.</p>
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<p>We get the square of 1156 by multiplying the number by itself, which is 1156 x 1156 = 1,336,336.</p>
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<h3>4.Is 1156 a prime number?</h3>
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<h3>4.Is 1156 a prime number?</h3>
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<p>1156 is not a<a>prime number</a>, as it has more than two factors.</p>
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<p>1156 is not a<a>prime number</a>, as it has more than two factors.</p>
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<h3>5.1156 is divisible by?</h3>
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<h3>5.1156 is divisible by?</h3>
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<p>1156 has several factors; it is divisible by 1, 2, 4, 17, 34, 68, 289, 578, and 1156.</p>
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<p>1156 has several factors; it is divisible by 1, 2, 4, 17, 34, 68, 289, 578, and 1156.</p>
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<h2>Important Glossaries for the Square Root of 1156</h2>
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<h2>Important Glossaries for the Square Root of 1156</h2>
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<p>Square root: A square root is the inverse of a square. Example: 6² = 36, and the inverse of the square is the square root, which is √36 = 6. Rational number: A rational number is a number that can be written in the form of p/q, where q is not equal to zero and p and q are integers. Perfect square: A perfect square is a number that is the square of an integer. Example: 1156 is a perfect square because 34 x 34 = 1156. Factorization: Factorization is the process of breaking down a number into its prime factors. Integer: An integer is a whole number that can be positive, negative, or zero. Examples include -3, 0, 4, etc.</p>
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<p>Square root: A square root is the inverse of a square. Example: 6² = 36, and the inverse of the square is the square root, which is √36 = 6. Rational number: A rational number is a number that can be written in the form of p/q, where q is not equal to zero and p and q are integers. Perfect square: A perfect square is a number that is the square of an integer. Example: 1156 is a perfect square because 34 x 34 = 1156. Factorization: Factorization is the process of breaking down a number into its prime factors. Integer: An integer is a whole number that can be positive, negative, or zero. Examples include -3, 0, 4, etc.</p>
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<p>What Is Algebra? 🧮 | Simple Explanation with 🎯 Cool Examples for Kids | ✨BrightCHAMPS Math</p>
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<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>