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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 626, we need to group it as 26 and 6.</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 626, we need to group it as 26 and 6.</p>
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<p><strong>Step 2:</strong>Now, we need to find n whose square is ≤ 6. We can take n as ‘2’ because 2 x 2 = 4, which is<a>less than</a>or equal to 6. Now the<a>quotient</a>is 2. After subtracting 4 from 6, the<a>remainder</a>is 2.</p>
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<p><strong>Step 2:</strong>Now, we need to find n whose square is ≤ 6. We can take n as ‘2’ because 2 x 2 = 4, which is<a>less than</a>or equal to 6. Now the<a>quotient</a>is 2. After subtracting 4 from 6, the<a>remainder</a>is 2.</p>
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<p><strong>Step 3:</strong>Now let us bring down 26, which is the new<a>dividend</a>. Add the old<a>divisor</a>with the same number 2 + 2, we get 4, which will be our new divisor.</p>
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<p><strong>Step 3:</strong>Now let us bring down 26, which is the new<a>dividend</a>. Add the old<a>divisor</a>with the same number 2 + 2, we get 4, 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 4n as the new divisor, and 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 4n as the new divisor, and we need to find the value of n.</p>
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<p><strong>Step 5:</strong>The next step is finding 4n x n ≤ 226. Let us consider n as 5; now 4 x 5 x 5 = 225.</p>
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<p><strong>Step 5:</strong>The next step is finding 4n x n ≤ 226. Let us consider n as 5; now 4 x 5 x 5 = 225.</p>
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<p><strong>Step 6:</strong>Subtract 225 from 226; the difference is 1, and the quotient is 25.</p>
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<p><strong>Step 6:</strong>Subtract 225 from 226; the difference is 1, and the quotient is 25.</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 100.</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 100.</p>
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<p><strong>Step 8:</strong>Now we need to find a new divisor that is 250, because 250 x 0 = 0.</p>
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<p><strong>Step 8:</strong>Now we need to find a new divisor that is 250, because 250 x 0 = 0.</p>
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<p><strong>Step 9:</strong>Subtracting 0 from 100, we get the result 100. Step 10: The next digit in the quotient is 0.</p>
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<p><strong>Step 9:</strong>Subtracting 0 from 100, we get the result 100. Step 10: The next digit in the quotient is 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 if there is no decimal value, continue till the remainder is zero. So the square root of √626 ≈ 25.02</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 is no decimal value, continue till the remainder is zero. So the square root of √626 ≈ 25.02</p>
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