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2026-01-01
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2026-02-28
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<p>219 Learners</p>
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<p>INDONESIA - Axa Tower 45th floor, JL prof. Dr Satrio Kav. 18, Kel. Karet Kuningan, Kec. Setiabudi, Kota Adm. Jakarta Selatan, Prov. DKI Jakarta</p>
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<p>Last updated on<strong>August 5, 2025</strong></p>
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<p>INDIA - H.No. 8-2-699/1, SyNo. 346, Rd No. 12, Banjara Hills, Hyderabad, Telangana - 500034</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 the field of vehicle design, finance, etc. Here, we will discuss the square root of 6400.</p>
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<p>SINGAPORE - 60 Paya Lebar Road #05-16, Paya Lebar Square, Singapore (409051)</p>
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<h2>What is the Square Root of 6400?</h2>
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<p>USA - 251, Little Falls Drive, Wilmington, Delaware 19808</p>
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<p>The<a>square</a>root is the inverse<a>of</a>the square of the<a>number</a>. 6400 is a<a>perfect square</a>. The square root of 6400 is expressed in both radical and<a>exponential form</a>. In the radical form, it is expressed as √6400, whereas (6400)^(1/2) in the exponential form. √6400 = 80, 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>VIETNAM (Office 1) - Hung Vuong Building, 670 Ba Thang Hai, ward 14, district 10, Ho Chi Minh City</p>
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<h2>Finding the Square Root of 6400</h2>
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<p>VIETNAM (Office 2) - 143 Nguyễn Thị Thập, Khu đô thị Him Lam, Quận 7, Thành phố Hồ Chí Minh 700000, Vietnam</p>
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<p>The<a>prime factorization</a>method is used for perfect square numbers, and the long-<a>division</a>method is used for both perfect and non-perfect square numbers. Let us now learn the following methods:</p>
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<p>UAE - BrightChamps, 8W building 5th Floor, DAFZ, Dubai, United Arab Emirates</p>
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<ul><li>Prime factorization method</li>
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<p>UK - Ground floor, Redwood House, Brotherswood Court, Almondsbury Business Park, Bristol, BS32 4QW, United Kingdom</p>
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<li>Long division method</li>
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</ul><h2>Square Root of 6400 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 6400 is broken down into its prime factors.</p>
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<p><strong>Step 1:</strong>Finding the prime factors of 6400 Breaking it down, we get 2 x 2 x 2 x 2 x 2 x 2 x 5 x 5: 2^6 x 5^2</p>
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<p><strong>Step 2:</strong>Now we found out the prime factors of 6400. The second step is to make pairs of those prime factors. Since 6400 is a perfect square, we can group these factors into pairs: (2^3 x 5)^2.</p>
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<p><strong>Step 3:</strong>Taking the<a>square root</a>of both sides gives √6400 = (2^3 x 5) = 8 x 5 = 40.</p>
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<h3>Explore Our Programs</h3>
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<p>No Courses Available</p>
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<h2>Square Root of 6400 by Long Division Method</h2>
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<p>The<a>long division</a>method is particularly used for both perfect and non-perfect square numbers. Let us now learn how to find the square root using the long division method, step by step.</p>
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<p><strong>Step 1:</strong>To begin with, we need to group the numbers from right to left. In the case of 6400, we need to group it as 64 and 00.</p>
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<p><strong>Step 2:</strong>Now we need to find n whose square is<a>less than</a>or equal to 64. We can say n as ‘8’ because 8 x 8 = 64, which is equal to 64. Now the<a>quotient</a>is 8. Step 3: Since 6400 ends in double zeros, the square root will also have a zero, making it 80.</p>
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<p>So the square root of √6400 is 80.</p>
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<h2>Square Root of 6400 by Approximation Method</h2>
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<p>The approximation method is another method for finding the square roots, it is an easy method to find the square root of a given number. Now let us learn how to find the square root of 6400 using the approximation method.</p>
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<p><strong>Step 1:</strong>Now we have to find the closest perfect square of √6400. The perfect square closest to 6400 is 6400 itself. √6400 is exactly 80. Thus, the square root of 6400 is 80.</p>
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<h2>Common Mistakes and How to Avoid Them in the Square Root of 6400</h2>
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<p>Students do make mistakes while finding the square root, like forgetting about the negative square root, skipping long division methods, etc. Now let us look at a few of those mistakes that students tend to make in detail.</p>
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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 √6400?</p>
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<p>Okay, lets begin</p>
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<p>The area of the square is 6400 square units.</p>
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<h3>Explanation</h3>
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<p>The area of the square = side^2.</p>
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<p>The side length is given as √6400.</p>
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<p>Area of the square = side^2 = √6400 x √6400 = 80 x 80 = 6400.</p>
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<p>Therefore, the area of the square box is 6400 square units.</p>
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<p>Well explained 👍</p>
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<h3>Problem 2</h3>
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<p>A square-shaped building measuring 6400 square feet is built; if each of the sides is √6400, 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>3200 square feet.</p>
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<h3>Explanation</h3>
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<p>We can just divide the given area by 2 as the building is square-shaped.</p>
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<p>Dividing 6400 by 2 = we get 3200.</p>
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<p>So half of the building measures 3200 square feet.</p>
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<p>Well explained 👍</p>
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<h3>Problem 3</h3>
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<p>Calculate √6400 x 5.</p>
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<p>Okay, lets begin</p>
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<p>400</p>
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<h3>Explanation</h3>
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<p>The first step is to find the square root of 6400, which is 80.</p>
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<p>The second step is to multiply 80 by 5.</p>
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<p>So 80 x 5 = 400.</p>
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<p>Well explained 👍</p>
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<h3>Problem 4</h3>
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<p>What will be the square root of (3600 + 2800)?</p>
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<p>Okay, lets begin</p>
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<p>The square root is 100.</p>
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<h3>Explanation</h3>
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<p>To find the square root, we need to find the sum of (3600 + 2800). 3600 + 2800 = 6400, and then √6400 = 80.</p>
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<p>Therefore, the square root of (3600 + 2800) is ±80.</p>
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<p>Well explained 👍</p>
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<h3>Problem 5</h3>
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<p>Find the perimeter of a rectangle if its length ‘l’ is √6400 units and the width ‘w’ is 40 units.</p>
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<p>Okay, lets begin</p>
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<p>The perimeter of the rectangle is 240 units.</p>
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<h3>Explanation</h3>
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<p>Perimeter of the rectangle = 2 × (length + width)</p>
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<p>Perimeter = 2 × (√6400 + 40) = 2 × (80 + 40) = 2 × 120 = 240 units.</p>
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<p>Well explained 👍</p>
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<h2>FAQ on Square Root of 6400</h2>
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<h3>1.What is √6400 in its simplest form?</h3>
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<p>The prime factorization of 6400 is 2^6 x 5^2, so the simplest form of √6400 = 40.</p>
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<h3>2.Mention the factors of 6400.</h3>
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<p>Factors of 6400 include 1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 64, 80, 100, 128, 160, 200, 256, 320, 400, 512, 640, 800, 1280, 1600, 3200, and 6400.</p>
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<h3>3.Calculate the square of 80.</h3>
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<p>We get the square of 80 by multiplying the number by itself, that is 80 x 80 = 6400.</p>
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<h3>4.Is 6400 a prime number?</h3>
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<p>6400 is not a<a>prime number</a>, as it has more than two factors.</p>
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<h3>5.6400 is divisible by?</h3>
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<p>6400 has many factors; those are 1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 64, 80, 100, 128, 160, 200, 256, 320, 400, 512, 640, 800, 1280, 1600, 3200, and 6400.</p>
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<h2>Important Glossaries for the Square Root of 6400</h2>
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<ul><li><strong>Square Root:</strong>A square root is the inverse of a square. Example: 8^2 = 64 and the inverse of the square is the square root, that is √64 = 8.</li>
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</ul><ul><li><strong>Rational Number:</strong>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.</li>
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</ul><ul><li><strong>Perfect Square:</strong>A number is a perfect square if it is the square of an integer. For example, 6400 is a perfect square because it is 80^2.</li>
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</ul><ul><li><strong>Factorization:</strong>Factorization is the process of breaking down a number into its prime factors. For example, the factorization of 6400 is 2^6 x 5^2.</li>
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</ul><ul><li><strong>Long Division Method:</strong>A method used to find the square root of a number involving division in a step-by-step manner.</li>
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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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<h2>Jaskaran Singh Saluja</h2>
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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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<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>