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Original
2026-01-01
Modified
2026-02-28
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<p>The long<a>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 long<a>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 982, we need to group it as 82 and 9.</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 982, we need to group it as 82 and 9.</p>
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<p><strong>Step 2:</strong>Now we need to find n whose square is ≤ 9. We can say n is ‘3’ because 3 × 3 = 9, which is equal to 9. Now the<a>quotient</a>is 3, and after subtracting 9 - 9, 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 ≤ 9. We can say n is ‘3’ because 3 × 3 = 9, which is equal to 9. Now the<a>quotient</a>is 3, and after subtracting 9 - 9, the<a>remainder</a>is 0.</p>
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<p><strong>Step 3:</strong>Now let us bring down 82, which is the new<a>dividend</a>. 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>Now let us bring down 82, which is the new<a>dividend</a>. 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 will be the<a>sum</a>of the dividend and quotient. Now we get 6n 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 6n 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 6n × n ≤ 82. Let us consider n as 1, now 6 × 1 × 1 = 61.</p>
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<p><strong>Step 5:</strong>The next step is finding 6n × n ≤ 82. Let us consider n as 1, now 6 × 1 × 1 = 61.</p>
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<p><strong>Step 6:</strong>Subtract 82 from 61; the difference is 21, and the quotient is 31.</p>
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<p><strong>Step 6:</strong>Subtract 82 from 61; the difference is 21, and the quotient is 31.</p>
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<p><strong>Step 7:</strong>Since the dividend is<a>less than</a>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 2100.</p>
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<p><strong>Step 7:</strong>Since the dividend is<a>less than</a>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 2100.</p>
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<p><strong>Step 8:</strong>Now we need to find the new divisor that is 62 because 622 × 2 = 1244.</p>
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<p><strong>Step 8:</strong>Now we need to find the new divisor that is 62 because 622 × 2 = 1244.</p>
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<p><strong>Step 9:</strong>Subtracting 1244 from 2100, we get the result 856.</p>
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<p><strong>Step 9:</strong>Subtracting 1244 from 2100, we get the result 856.</p>
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<p><strong>Step 10:</strong>Now the quotient is 31.2.</p>
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<p><strong>Step 10:</strong>Now the quotient is 31.2.</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. So the square root of √982 is approximately 31.32.</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. So the square root of √982 is approximately 31.32.</p>
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