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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<a>square root</a>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<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, group the numbers from right to left. In the case of 1810, group it as 18 and 10.</p>
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<p><strong>Step 1:</strong>To begin with, group the numbers from right to left. In the case of 1810, group it as 18 and 10.</p>
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<p><strong>Step 2:</strong>Now find n whose square is ≤ 18. We can say n is 4 because 4 x 4 = 16, which is<a>less than</a>or equal to 18. Now, the<a>quotient</a>is 4; after subtracting 16 from 18, the<a>remainder</a>is 2.</p>
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<p><strong>Step 2:</strong>Now find n whose square is ≤ 18. We can say n is 4 because 4 x 4 = 16, which is<a>less than</a>or equal to 18. Now, the<a>quotient</a>is 4; after subtracting 16 from 18, the<a>remainder</a>is 2.</p>
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<p><strong>Step 3:</strong>Bring down 10, making the new<a>dividend</a>210. Add the old<a>divisor</a>with the same number: 4 + 4 = 8, which will be our new divisor.</p>
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<p><strong>Step 3:</strong>Bring down 10, making the new<a>dividend</a>210. Add the old<a>divisor</a>with the same number: 4 + 4 = 8, 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 8n as the new divisor, and 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 8n as the new divisor, and we need to find the value of n.</p>
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<p><strong>Step 5:</strong>The next step is finding 8n x n ≤ 210. Let us consider n as 2; now 82 x 2 = 164.</p>
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<p><strong>Step 5:</strong>The next step is finding 8n x n ≤ 210. Let us consider n as 2; now 82 x 2 = 164.</p>
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<p><strong>Step 6:</strong>Subtract 164 from 210, the difference is 46, and the quotient is 42.</p>
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<p><strong>Step 6:</strong>Subtract 164 from 210, the difference is 46, and the quotient is 42.</p>
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<p><strong>Step 7:</strong>Since the dividend is less than the divisor, add a decimal point. Adding the decimal point allows us to add two zeroes to the dividend. Now the new dividend is 4600.</p>
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<p><strong>Step 7:</strong>Since the dividend is less than the divisor, add a decimal point. Adding the decimal point allows us to add two zeroes to the dividend. Now the new dividend is 4600.</p>
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<p><strong>Step 8:</strong>Find the new divisor which is 849 because 849 x 5 = 4245.</p>
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<p><strong>Step 8:</strong>Find the new divisor which is 849 because 849 x 5 = 4245.</p>
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<p><strong>Step 9:</strong>Subtracting 4245 from 4600 gives the result 355.</p>
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<p><strong>Step 9:</strong>Subtracting 4245 from 4600 gives the result 355.</p>
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<p><strong>Step 10:</strong>Now the quotient is 42.5.</p>
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<p><strong>Step 10:</strong>Now the quotient is 42.5.</p>
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<p><strong>Step 11:</strong>Continue these steps until you have two numbers after the decimal point. If there are no decimal values, continue until the remainder is zero.</p>
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<p><strong>Step 11:</strong>Continue these steps until you have two numbers after the decimal point. If there are no decimal values, continue until the remainder is zero.</p>
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<p>So the square root of √1810 is approximately 42.54.</p>
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<p>So the square root of √1810 is approximately 42.54.</p>
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