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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 835, we need to group it as 35 and 8.</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 835, we need to group it as 35 and 8.</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 8. We can say n is ‘2’ because 2 x 2 = 4, which is less than 8. Now the<a>quotient</a>is 2, and after subtracting 4 from 8, the<a>remainder</a>is 4.</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 8. We can say n is ‘2’ because 2 x 2 = 4, which is less than 8. Now the<a>quotient</a>is 2, and after subtracting 4 from 8, the<a>remainder</a>is 4.</p>
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<p><strong>Step 3:</strong>Now let us bring down 35, which is the new<a>dividend</a>. Add the old<a>divisor</a>with the same number 2 + 2 to get 4, which will be our new divisor in the form 4_.</p>
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<p><strong>Step 3:</strong>Now let us bring down 35, which is the new<a>dividend</a>. Add the old<a>divisor</a>with the same number 2 + 2 to get 4, which will be our new divisor in the form 4_.</p>
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<p><strong>Step 4:</strong>The new divisor will be the<a>sum</a>of the dividend and quotient. Now we need to find n such that 4n x n ≤ 435. Let us consider n as 8, now 48 x 8 = 384.</p>
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<p><strong>Step 4:</strong>The new divisor will be the<a>sum</a>of the dividend and quotient. Now we need to find n such that 4n x n ≤ 435. Let us consider n as 8, now 48 x 8 = 384.</p>
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<p><strong>Step 5:</strong>Subtract 384 from 435, the difference is 51, and the quotient is 28.</p>
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<p><strong>Step 5:</strong>Subtract 384 from 435, the difference is 51, and the quotient is 28.</p>
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<p><strong>Step 6:</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 5100.</p>
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<p><strong>Step 6:</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 5100.</p>
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<p><strong>Step 7:</strong>Now we need to find the new divisor that fits into the dividend. Try 289 because 289 x 9 = 2601, which is less than 5100.</p>
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<p><strong>Step 7:</strong>Now we need to find the new divisor that fits into the dividend. Try 289 because 289 x 9 = 2601, which is less than 5100.</p>
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<p><strong>Step 8:</strong>Subtracting 2601 from 5100 we get the result 2499.</p>
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<p><strong>Step 8:</strong>Subtracting 2601 from 5100 we get the result 2499.</p>
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<p><strong>Step 9:</strong>Continue doing these steps until we get two numbers after the decimal point. Suppose if there are no decimal values continue till the remainder is zero.</p>
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<p><strong>Step 9:</strong>Continue doing these steps until we get two numbers after the decimal point. Suppose if there are no decimal values continue till the remainder is zero.</p>
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<p>So the square root of √835 is approximately 28.90.</p>
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<p>So the square root of √835 is approximately 28.90.</p>
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