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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 19.6, we can consider it as 196/10 to simplify.</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 19.6, we can consider it as 196/10 to simplify.</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 19. We can say n is 4 because 4 × 4 = 16, which is less than 19. Now the<a>quotient</a>is 4, and after subtracting 16 from 19, 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 19. We can say n is 4 because 4 × 4 = 16, which is less than 19. Now the<a>quotient</a>is 4, and after subtracting 16 from 19, the<a>remainder</a>is 3.</p>
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<p><strong>Step 3:</strong>Now, let us bring down 60, making it 360. Add the old<a>divisor</a>with the same number: 4 + 4 = 8, which will be our new divisor.</p>
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<p><strong>Step 3:</strong>Now, let us bring down 60, making it 360. Add the old<a>divisor</a>with the same number: 4 + 4 = 8, which will be our new divisor.</p>
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<p><strong>Step 4:</strong>The new divisor will be 8n. We need to find the value of n where 8n × n ≤ 360. Let us consider n as 4, now 84 × 4 = 336.</p>
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<p><strong>Step 4:</strong>The new divisor will be 8n. We need to find the value of n where 8n × n ≤ 360. Let us consider n as 4, now 84 × 4 = 336.</p>
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<p><strong>Step 5:</strong>Subtract 336 from 360, and the difference is 24. The quotient becomes 4.4.</p>
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<p><strong>Step 5:</strong>Subtract 336 from 360, and the difference is 24. The quotient becomes 4.4.</p>
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<p><strong>Step 6:</strong>Since the<a>dividend</a>is less than the divisor, we 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:</strong>Since the<a>dividend</a>is less than the divisor, we 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>Now we need to find the new divisor, which is 88 because 884 × 4 = 3536 is more than 2400, so the previous divisor works.</p>
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<p><strong>Step 7:</strong>Now we need to find the new divisor, which is 88 because 884 × 4 = 3536 is more than 2400, so the previous divisor works.</p>
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<p><strong>Step 8:</strong>Subtract 1760 from 2400 to get the remainder 640. Continue this process until you achieve the desired precision.</p>
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<p><strong>Step 8:</strong>Subtract 1760 from 2400 to get the remainder 640. Continue this process until you achieve the desired precision.</p>
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<p>The square root of 19.6 is approximately 4.427.</p>
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<p>The square root of 19.6 is approximately 4.427.</p>
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