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2026-01-01
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<p>568 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 900 Here 900 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 900 Here 900 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 900?</h2>
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<h2>What is the square root of 900?</h2>
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<p>The<a>square</a>root of 900 can be easily found out by using<a>long division</a>method. In which it is discovered that the cumulative approximation of √900 is 9.165.</p>
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<p>The<a>square</a>root of 900 can be easily found out by using<a>long division</a>method. In which it is discovered that the cumulative approximation of √900 is 9.165.</p>
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<h2>Finding the square root of 900.</h2>
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<h2>Finding the square root of 900.</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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<h2>Square root of 900 using the prime factorization method.</h2>
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<h2>Square root of 900 using the prime factorization method.</h2>
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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 900: 900=22×32×52.</p>
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<p>Prime factorization of 900: 900=22×32×52.</p>
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<p>Since not all prime factors can be paired, 900 cannot be simplified into a<a>perfect square</a>. Therefore, the<a>square root</a>of 900 cannot be expressed in a simple radical form. </p>
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<p>Since not all prime factors can be paired, 900 cannot be simplified into a<a>perfect square</a>. Therefore, the<a>square root</a>of 900 cannot be expressed in a simple radical form. </p>
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<h3>Square root of 900 using the division method.</h3>
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<h3>Square root of 900 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 900 to perform long<a>division</a>.</p>
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<p><strong>Step 1:</strong>Write the number 900 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 900. For 900, that number is 900 (302)(30^2)(302).</p>
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<p><strong>Step 2:</strong>Identify a perfect square number that is<a>less than</a>or equal to 900. For 900, that number is 900 (302)(30^2)(302).</p>
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<p><strong>Step 3:</strong>Divide 900 by 30. The<a>remainder</a>will be 0, and the<a>quotient</a>will be 30.</p>
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<p><strong>Step 3:</strong>Divide 900 by 30. The<a>remainder</a>will be 0, and the<a>quotient</a>will be 30.</p>
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<p><strong>Step 4:</strong>Since the remainder is 0, you can stop here; the square root is exact.</p>
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<p><strong>Step 4:</strong>Since the remainder is 0, you can stop here; the square root is exact.</p>
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<p><strong>Step 5:</strong>In this case, you do not need to double the quotient or perform further calculations. </p>
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<p><strong>Step 5:</strong>In this case, you do not need to double the quotient or perform further calculations. </p>
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<h2>Common mistakes when finding the square root of 84.</h2>
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<h2>Common mistakes when finding the square root of 84.</h2>
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<p>Here are some common mistakes students should avoid while learning to calculate the square root of 84.</p>
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<p>Here are some common mistakes students should avoid while learning to calculate the square root of 84.</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>Simplify 4√20 + 4√20.</p>
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<p>Simplify 4√20 + 4√20.</p>
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<p>Okay, lets begin</p>
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<p>Okay, lets begin</p>
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<p>→ Factor √20</p>
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<p>→ Factor √20</p>
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<p>4√20 + 4√20</p>
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<p>4√20 + 4√20</p>
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<p>= √20(4+4) </p>
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<p>= √20(4+4) </p>
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<p>= 8×4.472</p>
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<p>= 8×4.472</p>
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<p>= 35.776 </p>
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<p>= 35.776 </p>
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<h3>Explanation</h3>
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<h3>Explanation</h3>
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<p>Simplification of √20= 4.472, now if you add the 4 and 4 and multiply it by 4.472 we get 35.776.</p>
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<p>Simplification of √20= 4.472, now if you add the 4 and 4 and multiply it by 4.472 we get 35.776.</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>Simplify √12 × √36.</p>
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<p>Simplify √12 × √36.</p>
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<p>Okay, lets begin</p>
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<p>Okay, lets begin</p>
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<p>√12 × √36</p>
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<p>√12 × √36</p>
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<p>= √432 </p>
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<p>= √432 </p>
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<h3>Explanation</h3>
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<h3>Explanation</h3>
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<p> Here, we multiply 12 by 36 to get 432, which results in √432. Since 432 is not a perfect square, the result cannot be simplified further.</p>
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<p> Here, we multiply 12 by 36 to get 432, which results in √432. Since 432 is not a perfect square, the result cannot be simplified further.</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>Find the square root of 49.</p>
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<p>Find the square root of 49.</p>
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<p>Okay, lets begin</p>
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<p>Okay, lets begin</p>
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<p>√49= 7 </p>
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<p>√49= 7 </p>
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<h3>Explanation</h3>
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<h3>Explanation</h3>
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<p>The square root of 49 is going to be 7 as 7 multiplied by itself leads to 49. </p>
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<p>The square root of 49 is going to be 7 as 7 multiplied by itself leads to 49. </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 900.</h2>
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<h2>FAQs on the square root of 900.</h2>
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<h3>1.What is the difference between square root and cube root.</h3>
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<h3>1.What is the difference between square root and cube root.</h3>
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<p> A square root of a number is a value that, when multiplied by itself, gives that number. The<a>cube root</a>is a value that, when multiplied thrice, the result is the said number.</p>
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<p> A square root of a number is a value that, when multiplied by itself, gives that number. The<a>cube root</a>is a value that, when multiplied thrice, the result is the said number.</p>
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<h3>2.3 is the square root of what number?</h3>
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<h3>2.3 is the square root of what number?</h3>
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<p>To find out what number 3 is the square root of, we need to multiply the number 3 with itself, the resulting number would be the answer in this case 3 × 3 is equal to 9</p>
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<p>To find out what number 3 is the square root of, we need to multiply the number 3 with itself, the resulting number would be the answer in this case 3 × 3 is equal to 9</p>
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<h3>3.What is the prime factorization of 900?</h3>
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<h3>3.What is the prime factorization of 900?</h3>
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<p>Using the prime factorization method we can easily find out that 900 can be written as<a>multiples</a>of 2, 3, and 5 to be more specific 900 = 22 × 32 × 52. </p>
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<p>Using the prime factorization method we can easily find out that 900 can be written as<a>multiples</a>of 2, 3, and 5 to be more specific 900 = 22 × 32 × 52. </p>
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<h3>4. How do you simplify 4√72?</h3>
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<h3>4. How do you simplify 4√72?</h3>
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<p> 4√72 can be easily simplified to 24√2, as we can express √72 as 6√2. 4 × 6 is equal to 24 hence it will be written as 24√2. </p>
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<p> 4√72 can be easily simplified to 24√2, as we can express √72 as 6√2. 4 × 6 is equal to 24 hence it will be written as 24√2. </p>
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<h3>5. Is 900 a perfect square?</h3>
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<h3>5. Is 900 a perfect square?</h3>
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<p>Yes, 900 is indeed a perfect square number because the number 30 can be squared to get 900 (30 × 30=900). Perfect squares are nothing but squares of a<a>whole number</a>.</p>
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<p>Yes, 900 is indeed a perfect square number because the number 30 can be squared to get 900 (30 × 30=900). Perfect squares are nothing but squares of a<a>whole number</a>.</p>
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<h2>Important Glossaries for Square Root of 900</h2>
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<h2>Important Glossaries for Square Root of 900</h2>
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<ul><li><strong>Square Root:</strong>A number which when 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 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</strong>: The ability to factorise a number into the product of the basic arithmetic numbers, also known as primary numbers.</li>
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</ul><ul><li><strong>Prime Factorization</strong>: The ability to factorise a number into 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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<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>