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Original
2026-01-01
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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 2496, we need to group it as 96 and 24.</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 2496, we need to group it as 96 and 24.</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 24. We can say n is '4' because 4 x 4 = 16, which is lesser than or equal to 24. Now the<a>quotient</a>is 4 and after subtracting 24-16, the<a>remainder</a>is 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 24. We can say n is '4' because 4 x 4 = 16, which is lesser than or equal to 24. Now the<a>quotient</a>is 4 and after subtracting 24-16, the<a>remainder</a>is 8.</p>
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<p><strong>Step 3:</strong>Now let us bring down 96, which is the new<a>dividend</a>. Add the old<a>divisor</a>with the same number 4 + 4, we get 8, which will be our new divisor.</p>
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<p><strong>Step 3:</strong>Now let us bring down 96, which is the new<a>dividend</a>. Add the old<a>divisor</a>with the same number 4 + 4, we get 8, which will be our new divisor.</p>
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<p><strong>Step 4:</strong>The new divisor will be 8n. We need to find the value of n. Step 5: The next step is finding 8n x n ≤ 896. Let us consider n as 9, now 89 x 9 = 801.</p>
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<p><strong>Step 4:</strong>The new divisor will be 8n. We need to find the value of n. Step 5: The next step is finding 8n x n ≤ 896. Let us consider n as 9, now 89 x 9 = 801.</p>
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<p><strong>Step 6:</strong>Subtract 896 from 801, the difference is 95, and the quotient is 49.</p>
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<p><strong>Step 6:</strong>Subtract 896 from 801, the difference is 95, and the quotient is 49.</p>
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<p><strong>Step 7:</strong>Since the dividend is less than 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 9500.</p>
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<p><strong>Step 7:</strong>Since the dividend is less than 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 9500.</p>
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<p><strong>Step 8:</strong>Now we need to find the new divisor, which is 499 because 4999 x 9 = 44991.</p>
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<p><strong>Step 8:</strong>Now we need to find the new divisor, which is 499 because 4999 x 9 = 44991.</p>
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<p><strong>Step 9:</strong>Subtracting 44991 from 95000, we get the result 5009.</p>
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<p><strong>Step 9:</strong>Subtracting 44991 from 95000, we get the result 5009.</p>
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<p><strong>Step 10:</strong>Now the quotient is 49.9</p>
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<p><strong>Step 10:</strong>Now the quotient is 49.9</p>
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<p><strong>Step 11:</strong>Continue doing these steps until we get two numbers after the decimal point. Suppose 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 √2496 is approximately 49.958.</p>
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<p>So the square root of √2496 is approximately 49.958.</p>
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