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2026-01-01
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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. For 1249, we need to group it as 49 and 12.</p>
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<p><strong>Step 1:</strong>To begin with, we need to group the numbers from right to left. For 1249, we need to group it as 49 and 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 12. We can say n is ‘3’ because 3 x 3 = 9, which is less than 12. Subtracting 9 from 12, the<a>remainder</a>is 3.</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 12. We can say n is ‘3’ because 3 x 3 = 9, which is less than 12. Subtracting 9 from 12, the<a>remainder</a>is 3.</p>
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<p><strong>Step 3:</strong>Bring down 49, making the new<a>dividend</a>349. 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>Bring down 49, making the new<a>dividend</a>349. 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, 6n, needs to be multiplied by n to get a product less than or equal to 349. Let us consider n as 5, now 65 x 5 = 325.</p>
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<p><strong>Step 4:</strong>The new divisor, 6n, needs to be multiplied by n to get a product less than or equal to 349. Let us consider n as 5, now 65 x 5 = 325.</p>
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<p><strong>Step 5:</strong>Subtract 325 from 349, the difference is 24, and the<a>quotient</a>is 35.</p>
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<p><strong>Step 5:</strong>Subtract 325 from 349, the difference is 24, and the<a>quotient</a>is 35.</p>
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<p><strong>Step 6: S</strong>ince 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 2400.</p>
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<p><strong>Step 6: S</strong>ince 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 2400.</p>
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<p><strong>Step 7:</strong>The next new divisor is 70, and we need to find n such that 700n x n ≤ 2400. Let n be 3, then 703 x 3 = 2109.</p>
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<p><strong>Step 7:</strong>The next new divisor is 70, and we need to find n such that 700n x n ≤ 2400. Let n be 3, then 703 x 3 = 2109.</p>
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<p><strong>Step 8:</strong>Subtracting 2109 from 2400 gives a remainder of 291.</p>
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<p><strong>Step 8:</strong>Subtracting 2109 from 2400 gives a remainder of 291.</p>
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<p><strong>Step 9:</strong>The current quotient is 35.3. Continue these steps until we get two numbers after the decimal point.</p>
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<p><strong>Step 9:</strong>The current quotient is 35.3. Continue these steps until we get two numbers after the decimal point.</p>
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<p>So the square root of √1249 is approximately 35.33.</p>
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<p>So the square root of √1249 is approximately 35.33.</p>
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