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Original
2026-01-01
Modified
2026-02-21
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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 4834, we need to group it as 48 and 34.</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 4834, we need to group it as 48 and 34.</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 48. We can say n as '6' because 6 x 6 = 36, which is less than 48. The<a>quotient</a>is 6, and after subtracting 36 from 48, the<a>remainder</a>is 12.</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 48. We can say n as '6' because 6 x 6 = 36, which is less than 48. The<a>quotient</a>is 6, and after subtracting 36 from 48, the<a>remainder</a>is 12.</p>
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<p><strong>Step 3:</strong>Now let us bring down 34, making the new<a>dividend</a>1234. Add the old<a>divisor</a>with the same number, 6 + 6, to get 12, which becomes the new divisor.</p>
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<p><strong>Step 3:</strong>Now let us bring down 34, making the new<a>dividend</a>1234. Add the old<a>divisor</a>with the same number, 6 + 6, to get 12, which becomes the new divisor.</p>
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<p><strong>Step 4:</strong>The new divisor is 12n, so we need to find the value of n.</p>
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<p><strong>Step 4:</strong>The new divisor is 12n, so we need to find the value of n.</p>
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<p><strong>Step 5:</strong>Find 12n x n ≤ 1234. Let us consider n as 9, now 129 x 9 = 1161.</p>
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<p><strong>Step 5:</strong>Find 12n x n ≤ 1234. Let us consider n as 9, now 129 x 9 = 1161.</p>
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<p><strong>Step 6:</strong>Subtract 1161 from 1234; the difference is 73, and the quotient is 69.</p>
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<p><strong>Step 6:</strong>Subtract 1161 from 1234; the difference is 73, and the quotient is 69.</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 7300.</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 7300.</p>
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<p><strong>Step 8:</strong>Now we need to find the new divisor that is 139 because 1395 x 5 = 6975.</p>
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<p><strong>Step 8:</strong>Now we need to find the new divisor that is 139 because 1395 x 5 = 6975.</p>
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<p><strong>Step 9:</strong>Subtracting 6975 from 7300, we get the result 325.</p>
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<p><strong>Step 9:</strong>Subtracting 6975 from 7300, we get the result 325.</p>
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<p><strong>Step 10:</strong>Now the quotient is 69.5</p>
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<p><strong>Step 10:</strong>Now the quotient is 69.5</p>
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<p><strong>Step 11:</strong>Continue these steps until we get 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 we get 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 √4834 ≈ 69.54</p>
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<p>So the square root of √4834 ≈ 69.54</p>
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