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Original
2026-01-01
Modified
2026-02-28
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<p>The<a>long division</a>method is particularly used for non-perfect square numbers. In this method, we should check the closest perfect square number for the given number. Let us now learn how to find the square root using the long division method, step by step:</p>
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<p>The<a>long division</a>method is particularly used for non-perfect square numbers. In this method, we should check the closest perfect square number for the given number. 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 672, we need to group it as 72 and 6.</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 672, we need to group it as 72 and 6.</p>
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<p><strong>Step 2:</strong>Now we need to find n whose square is closest to 6. We can say n is '2' because 2 x 2 = 4 is lesser than or equal to 6. Now the<a>quotient</a>is 2, and after subtracting 4 from 6, the<a>remainder</a>is 2.</p>
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<p><strong>Step 2:</strong>Now we need to find n whose square is closest to 6. We can say n is '2' because 2 x 2 = 4 is lesser than or equal to 6. Now the<a>quotient</a>is 2, and after subtracting 4 from 6, the<a>remainder</a>is 2.</p>
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<p><strong>Step 3:</strong>Now let us bring down 72, which is the new<a>dividend</a>. Add the old<a>divisor</a>with the same number: 2 + 2 = 4, which will be our new divisor.</p>
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<p><strong>Step 3:</strong>Now let us bring down 72, which is the new<a>dividend</a>. Add the old<a>divisor</a>with the same number: 2 + 2 = 4, which will be our new divisor.</p>
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<p><strong>Step 4:</strong>The new divisor will be followed by finding the value of n such that 4n x n ≤ 272.</p>
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<p><strong>Step 4:</strong>The new divisor will be followed by finding the value of n such that 4n x n ≤ 272.</p>
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<p><strong>Step 5:</strong>The next step is finding 4n x n ≤ 272. Let us consider n as 6; now 46 x 6 = 276, which is too large, so we try n as 5.</p>
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<p><strong>Step 5:</strong>The next step is finding 4n x n ≤ 272. Let us consider n as 6; now 46 x 6 = 276, which is too large, so we try n as 5.</p>
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<p><strong>Step 6:</strong>Subtract 245 (45 x 5) from 272; the difference is 27, and the quotient is 25.</p>
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<p><strong>Step 6:</strong>Subtract 245 (45 x 5) from 272; the difference is 27, and the quotient is 25.</p>
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<p><strong>Step 7:</strong>Since the dividend is<a>less than</a>the divisor, we need to add a<a>decimal</a>point. Adding the decimal point allows us to add two zeroes to the dividend. Now the new dividend is 2700.</p>
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<p><strong>Step 7:</strong>Since the dividend is<a>less than</a>the divisor, we need to add a<a>decimal</a>point. Adding the decimal point allows us to add two zeroes to the dividend. Now the new dividend is 2700.</p>
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<p><strong>Step 8:</strong>We need to find the new divisor, which is 509 because 509 x 5 = 2545.</p>
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<p><strong>Step 8:</strong>We need to find the new divisor, which is 509 because 509 x 5 = 2545.</p>
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<p><strong>Step 9:</strong>Subtracting 2545 from 2700, we get the result 155.</p>
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<p><strong>Step 9:</strong>Subtracting 2545 from 2700, we get the result 155.</p>
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<p><strong>Step 10:</strong>Now the quotient is 25.9.</p>
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<p><strong>Step 10:</strong>Now the quotient is 25.9.</p>
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<p><strong>Step 11:</strong>Continue doing these steps until we get two numbers after the decimal point. Suppose there are no decimal values; continue until the remainder is zero.</p>
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<p><strong>Step 11:</strong>Continue doing these steps until we get two numbers after the decimal point. Suppose there are no decimal values; continue until the remainder is zero.</p>
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<p>So the square root of √672 is approximately 25.92.</p>
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<p>So the square root of √672 is approximately 25.92.</p>
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