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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 square root 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 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 949, we need to group it as 49 and 9.</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 949, we need to group it as 49 and 9.</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 9. We can say n is ‘3’ because 3 x 3 = 9. Now the<a>quotient</a>is 3, and after subtracting 9 from 9, 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 9. We can say n is ‘3’ because 3 x 3 = 9. Now the<a>quotient</a>is 3, and after subtracting 9 from 9, the<a>remainder</a>is 0.</p>
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<p><strong>Step 3:</strong>Now let us bring down 49, which is the new<a>dividend</a>. Add the old<a>divisor</a>with the same number: 3 + 3 = 6, which will be our new divisor.</p>
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<p><strong>Step 3:</strong>Now let us bring down 49, which is the new<a>dividend</a>. Add the old<a>divisor</a>with the same number: 3 + 3 = 6, which will be our new divisor.</p>
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<p><strong>Step 4:</strong>The new divisor will be 6n. We need to find the value of n such that 6n x n is less than or equal to 49.</p>
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<p><strong>Step 4:</strong>The new divisor will be 6n. We need to find the value of n such that 6n x n is less than or equal to 49.</p>
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<p><strong>Step 5:</strong>Let n be 0, so 60 x 0 = 0.</p>
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<p><strong>Step 5:</strong>Let n be 0, so 60 x 0 = 0.</p>
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<p><strong>Step 6:</strong>Subtracting 0 from 49, the difference is 49, and the quotient is 30.</p>
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<p><strong>Step 6:</strong>Subtracting 0 from 49, the difference is 49, and the quotient is 30.</p>
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<p><strong>Step 7:</strong>Since the dividend is<a>greater than</a>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 4900.</p>
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<p><strong>Step 7:</strong>Since the dividend is<a>greater than</a>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 4900.</p>
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<p><strong>Step 8:</strong>Now we need to find the new divisor. Let n be 8 because 608 x 8 = 4864.</p>
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<p><strong>Step 8:</strong>Now we need to find the new divisor. Let n be 8 because 608 x 8 = 4864.</p>
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<p><strong>Step 9:</strong>Subtracting 4864 from 4900 gives the result 36. Step 10: The quotient is now 30.8.</p>
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<p><strong>Step 9:</strong>Subtracting 4864 from 4900 gives the result 36. Step 10: The quotient is now 30.8.</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 √949 ≈ 30.80584.</p>
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<p>So the square root of √949 ≈ 30.80584.</p>
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