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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 2020, we need to group it as 20 and 20.</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 2020, we need to group it as 20 and 20.</p>
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<p><strong>Step 2:</strong>Now we need to find n whose square is ≤ 20. We can say n is ‘4’ because 4 x 4 = 16, which is<a>less than</a>or equal to 20. Now the<a>quotient</a>is 4 after subtracting 16 from 20, the<a>remainder</a>is 4.</p>
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<p><strong>Step 2:</strong>Now we need to find n whose square is ≤ 20. We can say n is ‘4’ because 4 x 4 = 16, which is<a>less than</a>or equal to 20. Now the<a>quotient</a>is 4 after subtracting 16 from 20, the<a>remainder</a>is 4.</p>
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<p><strong>Step 3:</strong>Now let us bring down the next pair, 20, which is the new<a>dividend</a>. 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 the next pair, 20, which is the new<a>dividend</a>. 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 the sum of the dividend and quotient. Now we get 8n as the new divisor, we need to find the value of n.</p>
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<p><strong>Step 4:</strong>The new divisor will be the sum of the dividend and quotient. Now we get 8n as the new divisor, we need to find the value of n.</p>
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<p><strong>Step 5:</strong>The next step is finding 8n × n ≤ 420. Let us consider n as 5, now 85 x 5 = 425, which is greater than 420. Try n as 4, 84 x 4 = 336.</p>
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<p><strong>Step 5:</strong>The next step is finding 8n × n ≤ 420. Let us consider n as 5, now 85 x 5 = 425, which is greater than 420. Try n as 4, 84 x 4 = 336.</p>
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<p><strong>Step 6:</strong>Subtract 336 from 420; the difference is 84, and the quotient is 44.</p>
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<p><strong>Step 6:</strong>Subtract 336 from 420; the difference is 84, and the quotient is 44.</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 8400.</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 8400.</p>
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<p><strong>Step 8:</strong>Now we need to find the new divisor, which is 9 because 889 x 9 = 8001.</p>
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<p><strong>Step 8:</strong>Now we need to find the new divisor, which is 9 because 889 x 9 = 8001.</p>
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<p><strong>Step 9:</strong>Subtracting 8001 from 8400, we get the result 399.</p>
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<p><strong>Step 9:</strong>Subtracting 8001 from 8400, we get the result 399.</p>
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<p><strong>Step 10:</strong>Now the quotient is 44.9.</p>
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<p><strong>Step 10:</strong>Now the quotient is 44.9.</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 √2020 is approximately 44.94.</p>
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<p>So the square root of √2020 is approximately 44.94.</p>
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