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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 965, we need to group it as 65 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 965, we need to group it as 65 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 x 3 = 9, which is equal to 9. Now the<a>quotient</a>is 3, and 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 x 3 = 9, which is equal to 9. Now the<a>quotient</a>is 3, and the<a>remainder</a>is 0.</p>
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<p><strong>Step 3:</strong>Now let us bring down 65, which is the new<a>dividend</a>. Add the old<a>divisor</a>with the same number 3 + 3, we get 6, which will be our new divisor.</p>
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<p><strong>Step 3:</strong>Now let us bring down 65, which is the new<a>dividend</a>. Add the old<a>divisor</a>with the same number 3 + 3, we get 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 ≤ 65. Let us consider n as 1, now 6 x 1 x 1 = 6.</p>
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<p><strong>Step 5:</strong>The next step is finding 6n × n ≤ 65. Let us consider n as 1, now 6 x 1 x 1 = 6.</p>
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<p><strong>Step 6:</strong>Subtract 65 from 6, the difference is 59, and the quotient is 31.</p>
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<p><strong>Step 6:</strong>Subtract 65 from 6, the difference is 59, and the quotient is 31.</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 5900.</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 5900.</p>
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<p><strong>Step 8:</strong>Now we need to find the new divisor that is 62 because 621 ✖ 9 = 5589. Step 9: Subtracting 5589 from 5900, we get the result 311.</p>
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<p><strong>Step 8:</strong>Now we need to find the new divisor that is 62 because 621 ✖ 9 = 5589. Step 9: Subtracting 5589 from 5900, we get the result 311.</p>
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<p><strong>Step 10:</strong>Now the quotient is 31.0</p>
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<p><strong>Step 10:</strong>Now the quotient is 31.0</p>
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<p><strong>Step 11:</strong>Continue doing these steps until we get two numbers after the decimal point. Suppose 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 there are no decimal values, continue till the remainder is zero.</p>
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<p>So the square root of √965 ≈ 31.06</p>
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<p>So the square root of √965 ≈ 31.06</p>
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