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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, group the numbers from right to left. In the case of 22.3, consider it as 22 and 3.</p>
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<p><strong>Step 1:</strong>To begin with, group the numbers from right to left. In the case of 22.3, consider it as 22 and 3.</p>
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<p><strong>Step 2:</strong>Find n whose square is<a>less than</a>or equal to 22. We can say n is 4 because 4 × 4 = 16 is less than 22. Now the<a>quotient</a>is 4, after subtracting 16 from 22, the<a>remainder</a>is 6.</p>
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<p><strong>Step 2:</strong>Find n whose square is<a>less than</a>or equal to 22. We can say n is 4 because 4 × 4 = 16 is less than 22. Now the<a>quotient</a>is 4, after subtracting 16 from 22, the<a>remainder</a>is 6.</p>
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<p><strong>Step 3:</strong>Bring down 30 (since we need to consider the<a>decimal</a>and add two zeros), making the new<a>dividend</a>630.</p>
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<p><strong>Step 3:</strong>Bring down 30 (since we need to consider the<a>decimal</a>and add two zeros), making the new<a>dividend</a>630.</p>
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<p><strong>Step 4:</strong>The new divisor will be twice the quotient obtained, which is 8. Consider 8n as the new divisor and find n such that 8n × n is less or equal to 630.</p>
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<p><strong>Step 4:</strong>The new divisor will be twice the quotient obtained, which is 8. Consider 8n as the new divisor and find n such that 8n × n is less or equal to 630.</p>
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<p><strong>Step 5:</strong>Consider n as 7, now 87 × 7 = 609.</p>
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<p><strong>Step 5:</strong>Consider n as 7, now 87 × 7 = 609.</p>
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<p><strong>Step 6:</strong>Subtract 609 from 630, the difference is 21, and the quotient is 4.7.</p>
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<p><strong>Step 6:</strong>Subtract 609 from 630, the difference is 21, and the quotient is 4.7.</p>
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<p><strong>Step 7:</strong>Since the remainder is 21 and less than the divisor, add another pair of zeros to the dividend, making it 2100.</p>
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<p><strong>Step 7:</strong>Since the remainder is 21 and less than the divisor, add another pair of zeros to the dividend, making it 2100.</p>
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<p><strong>Step 8:</strong>The new divisor is 94, as 947 × 7 = 6629, which is too large, so use 946 × 6 = 5676.</p>
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<p><strong>Step 8:</strong>The new divisor is 94, as 947 × 7 = 6629, which is too large, so use 946 × 6 = 5676.</p>
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<p><strong>Step 9:</strong>Continue this process to refine the quotient to 4.7202.</p>
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<p><strong>Step 9:</strong>Continue this process to refine the quotient to 4.7202.</p>
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