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Original
2026-01-01
Modified
2026-02-28
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<p>The long<a>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 long<a>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 2535, we need to group it as 35 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 2535, we need to group it as 35 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 25. We can say n is '5' because 5 x 5 = 25. Now the<a>quotient</a>is 5, and after subtracting 25-25, the<a>remainder</a>is 0.</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 25. We can say n is '5' because 5 x 5 = 25. Now the<a>quotient</a>is 5, and after subtracting 25-25, the<a>remainder</a>is 0.</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, 5 + 5, we get 10, which will be our new divisor.</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, 5 + 5, we get 10, which will be our new divisor.</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 get 10n 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<a>sum</a>of the dividend and quotient. Now we get 10n 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 10n + n ≤ 35. Let us consider n as 3, now 103 x 3 = 309.</p>
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<p><strong>Step 5:</strong>The next step is finding 10n + n ≤ 35. Let us consider n as 3, now 103 x 3 = 309.</p>
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<p><strong>Step 6:</strong>Subtract 35 from 309; the difference is 26, and the quotient is 50.</p>
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<p><strong>Step 6:</strong>Subtract 35 from 309; the difference is 26, and the quotient is 50.</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 2600.</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 2600.</p>
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<p><strong>Step 8:</strong>Now we need to find the new divisor, which is 503 because 503 x 5 ≈ 2515.</p>
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<p><strong>Step 8:</strong>Now we need to find the new divisor, which is 503 because 503 x 5 ≈ 2515.</p>
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<p><strong>Step 9:</strong>Subtracting 2515 from 2600, we get the result 85.</p>
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<p><strong>Step 9:</strong>Subtracting 2515 from 2600, we get the result 85.</p>
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<p><strong>Step 10:</strong>Now the quotient is 50.3.</p>
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<p><strong>Step 10:</strong>Now the quotient is 50.3.</p>
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<p><strong>Step 11:</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 11:</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 √2535 is approximately 50.35.</p>
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<p>So the square root of √2535 is approximately 50.35.</p>
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