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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 1636, we can group it as 16 and 36.</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 1636, we can group it as 16 and 36.</p>
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<p><strong>Step 2:</strong>Now we need to find n whose square is close to or<a>less than</a>16. We can say n is '4' because 4 x 4 = 16. Now the<a>quotient</a>is 4 after subtracting 16 from 16, 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 close to or<a>less than</a>16. We can say n is '4' because 4 x 4 = 16. Now the<a>quotient</a>is 4 after subtracting 16 from 16, the<a>remainder</a>is 0.</p>
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<p><strong>Step 3:</strong>Now let us bring down 36, which is the new<a>dividend</a>. Add the old<a>divisor</a>with the same number, 4 + 4, to get 8, which will be our new divisor.</p>
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<p><strong>Step 3:</strong>Now let us bring down 36, which is the new<a>dividend</a>. Add the old<a>divisor</a>with the same number, 4 + 4, to get 8, which will be our new divisor.</p>
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<p><strong>Step 4:</strong>The new divisor will be the<a>sum</a>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<a>sum</a>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 ≤ 36; let us consider n as 4, now 8 x 4 = 32.</p>
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<p><strong>Step 5:</strong>The next step is finding 8n × n ≤ 36; let us consider n as 4, now 8 x 4 = 32.</p>
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<p><strong>Step 6:</strong>Subtract 36 from 32, the difference is 4, and the quotient is 40.</p>
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<p><strong>Step 6:</strong>Subtract 36 from 32, the difference is 4, and the quotient is 40.</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 400.</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 400.</p>
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<p><strong>Step 8:</strong>Now we need to find the new divisor that is 80 because 804 ✖ 4 = 3216.</p>
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<p><strong>Step 8:</strong>Now we need to find the new divisor that is 80 because 804 ✖ 4 = 3216.</p>
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<p><strong>Step 9:</strong>Subtracting 3216 from 4000, we get the result 784.</p>
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<p><strong>Step 9:</strong>Subtracting 3216 from 4000, we get the result 784.</p>
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<p><strong>Step 10:</strong>Now the quotient is 40.4.</p>
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<p><strong>Step 10:</strong>Now the quotient is 40.4.</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 √1636 is approximately 40.45.</p>
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<p>So the square root of √1636 is approximately 40.45.</p>
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