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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<a>square root</a>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<a>square root</a>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 4525, we need to group it as 45 and 25.</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 4525, we need to group it as 45 and 25.</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 45. We can say n as ‘6’ because 6 x 6 = 36, which is less than 45. Now the<a>quotient</a>is 6, after subtracting 36 from 45, the<a>remainder</a>is 9.</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 45. We can say n as ‘6’ because 6 x 6 = 36, which is less than 45. Now the<a>quotient</a>is 6, after subtracting 36 from 45, the<a>remainder</a>is 9.</p>
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<p><strong>Step 3:</strong>Now let us bring down 25, which is the new<a>dividend</a>. Add the old<a>divisor</a>with the same number, 6 + 6, we get 12, which will be our new divisor.</p>
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<p><strong>Step 3:</strong>Now let us bring down 25, which is the new<a>dividend</a>. Add the old<a>divisor</a>with the same number, 6 + 6, we get 12, which will be our new divisor.</p>
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<p><strong>Step 4:</strong>The new divisor will be the sum of the dividend and quotient. Now we get 12n as the new divisor, we need to find the value of n.</p>
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<p><strong>Step 4:</strong>The new divisor will be the sum of the dividend and quotient. Now we get 12n as the new divisor, we need to find the value of n.</p>
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<p><strong>Step 5:</strong>The next step is finding 12n × n ≤ 925. Let us consider n as 7, now 127 x 7 = 889.</p>
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<p><strong>Step 5:</strong>The next step is finding 12n × n ≤ 925. Let us consider n as 7, now 127 x 7 = 889.</p>
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<p><strong>Step 6:</strong>Subtract 925 from 889, the difference is 36, and the quotient is 67.</p>
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<p><strong>Step 6:</strong>Subtract 925 from 889, the difference is 36, and the quotient is 67.</p>
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<p><strong>Step 7:</strong>Since the dividend is less than the divisor, we need to add a decimal point. Adding the decimal point allows us to add two zeroes to the dividend. Now the new dividend is 3600.</p>
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<p><strong>Step 7:</strong>Since the dividend is less than the divisor, we need to add a decimal point. Adding the decimal point allows us to add two zeroes to the dividend. Now the new dividend is 3600.</p>
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<p><strong>Step 8:</strong>Now we need to find the new divisor that is 134, because 1344 x 4 = 5376, which is greater than 3600. Therefore, 1343 x 3 = 4029, which is too much, so we try 1342 x 2 = 2684.</p>
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<p><strong>Step 8:</strong>Now we need to find the new divisor that is 134, because 1344 x 4 = 5376, which is greater than 3600. Therefore, 1343 x 3 = 4029, which is too much, so we try 1342 x 2 = 2684.</p>
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<p><strong>Step 9:</strong>Subtracting 2684 from 3600, we get the result 916.</p>
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<p><strong>Step 9:</strong>Subtracting 2684 from 3600, we get the result 916.</p>
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<p><strong>Step 10:</strong>Now the quotient is 67.2.</p>
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<p><strong>Step 10:</strong>Now the quotient is 67.2.</p>
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<p><strong>Step 11:</strong>Continue doing these steps until we get two numbers after the decimal point or 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 or until the remainder is zero.</p>
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<p>So the square root of √4525 ≈ 67.29.</p>
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<p>So the square root of √4525 ≈ 67.29.</p>
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