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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 3796, we need to group it as 96 and 37.</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 3796, we need to group it as 96 and 37.</p>
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<p><strong>Step 2:</strong>Now we need to find n whose square is close to 37. We can say n is 6 because 6 * 6 = 36, which is lesser than or equal to 37. Now the<a>quotient</a>is 6, and after subtracting 36 from 37, the<a>remainder</a>is 1.</p>
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<p><strong>Step 2:</strong>Now we need to find n whose square is close to 37. We can say n is 6 because 6 * 6 = 36, which is lesser than or equal to 37. Now the<a>quotient</a>is 6, and after subtracting 36 from 37, the<a>remainder</a>is 1.</p>
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<p><strong>Step 3:</strong>Now let us bring down 96, which makes the new<a>dividend</a>196. 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 96, which makes the new<a>dividend</a>196. 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 is now 12n. We need to find the value of n such that 12n * n ≤ 196. Let us consider n as 1, now 12 * 1 * 1 = 12.</p>
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<p><strong>Step 4:</strong>The new divisor is now 12n. We need to find the value of n such that 12n * n ≤ 196. Let us consider n as 1, now 12 * 1 * 1 = 12.</p>
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<p><strong>Step 5:</strong>Subtract 12 from 196; the difference is 184, and the quotient becomes 61.</p>
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<p><strong>Step 5:</strong>Subtract 12 from 196; the difference is 184, and the quotient becomes 61.</p>
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<p><strong>Step 6:</strong>Since the dividend is<a>less than</a>the divisor, we need to add a decimal point. Adding the decimal point allows us to add two zeros to the dividend. Now the new dividend is 18400.</p>
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<p><strong>Step 6:</strong>Since the dividend is<a>less than</a>the divisor, we need to add a decimal point. Adding the decimal point allows us to add two zeros to the dividend. Now the new dividend is 18400.</p>
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<p><strong>Step 7:</strong>Now we need to find the new digit for the divisor, which is approximately 58, because 1218 * 1 = 1218.</p>
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<p><strong>Step 7:</strong>Now we need to find the new digit for the divisor, which is approximately 58, because 1218 * 1 = 1218.</p>
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<p><strong>Step 8:</strong>Subtracting 1218 from 18400 gives the result 17182.</p>
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<p><strong>Step 8:</strong>Subtracting 1218 from 18400 gives the result 17182.</p>
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<p><strong>Step 9:</strong>Continue doing these steps until we get two numbers after the decimal point. Suppose there are no decimal values; continue until 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 there are no decimal values; continue until the remainder is zero.</p>
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<p>So the square root of √3796 ≈ 61.583.</p>
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<p>So the square root of √3796 ≈ 61.583.</p>
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