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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 969, we need to group it as 69 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 969, we need to group it as 69 and 9.</p>
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<p><strong>Step 2:</strong>Now we need to find n whose square is closest to 9. We can say n is 3 because 3 x 3 = 9. Now the<a>quotient</a>is 3, and after subtracting 9 from 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 closest to 9. We can say n is 3 because 3 x 3 = 9. Now the<a>quotient</a>is 3, and after subtracting 9 from 9, the<a>remainder</a>is 0.</p>
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<p><strong>Step 3:</strong>Now let us bring down 69, which is the new<a>dividend</a>. Add the old<a>divisor</a>with the same number 3 + 3 to get 6, which will be our new divisor.</p>
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<p><strong>Step 3:</strong>Now let us bring down 69, which is the new<a>dividend</a>. Add the old<a>divisor</a>with the same number 3 + 3 to get 6, which will be our new divisor.</p>
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<p><strong>Step 4:</strong>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>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 x n ≤ 69. 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 x n ≤ 69. Let us consider n as 1, now 6 x 1 x 1 = 6.</p>
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<p><strong>Step 6:</strong>Subtract 6 from 69, the difference is 63, and the quotient becomes 31.</p>
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<p><strong>Step 6:</strong>Subtract 6 from 69, the difference is 63, and the quotient becomes 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<a>decimal</a>point. Adding the decimal point allows us to add two zeroes to the dividend. Now the new dividend is 6300.</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<a>decimal</a>point. Adding the decimal point allows us to add two zeroes to the dividend. Now the new dividend is 6300.</p>
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<p><strong>Step 8:</strong>Now we need to find the new divisor, which is 621 because 621 x 1 = 621.</p>
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<p><strong>Step 8:</strong>Now we need to find the new divisor, which is 621 because 621 x 1 = 621.</p>
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<p><strong>Step 9:</strong>Subtracting 621 from 6300 gives the result 79.</p>
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<p><strong>Step 9:</strong>Subtracting 621 from 6300 gives the result 79.</p>
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<p><strong>Step 10:</strong>Now the quotient is 31.1.</p>
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<p><strong>Step 10:</strong>Now the quotient is 31.1.</p>
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<p><strong>Step 11:</strong>Continue doing these steps until we get two numbers after the decimal point.</p>
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<p><strong>Step 11:</strong>Continue doing these steps until we get two numbers after the decimal point.</p>
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<p>Suppose if there is no decimal value, continue until the remainder is zero. So the square root of √969 ≈ 31.11.</p>
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<p>Suppose if there is no decimal value, continue until the remainder is zero. So the square root of √969 ≈ 31.11.</p>
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