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2026-01-01
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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 456, we need to group it as 56 and 4.</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 456, we need to group it as 56 and 4.</p>
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<p><strong>Step 2:</strong>Now, we need to find n whose square is 4. We can say n as ‘2’ because 2 x 2 is equal to 4. Now the<a>quotient</a>is 2 after subtracting 4 - 4, 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 4. We can say n as ‘2’ because 2 x 2 is equal to 4. Now the<a>quotient</a>is 2 after subtracting 4 - 4, the<a>remainder</a>is 0.</p>
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<p><strong>Step 3:</strong>Now let us bring down 56, 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 56, 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<a>sum</a>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<a>sum</a>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 ≤ 56. Let us consider n as 1, now 4 x 1 x 1 = 41</p>
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<p><strong>Step 5:</strong>The next step is finding 4n x n ≤ 56. Let us consider n as 1, now 4 x 1 x 1 = 41</p>
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<p><strong>Step 6:</strong>Subtract 56 from 41, the difference is 15, and the quotient is 21.</p>
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<p><strong>Step 6:</strong>Subtract 56 from 41, the difference is 15, and the quotient is 21.</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 1500.</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 1500.</p>
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<p><strong>Step 8:</strong>Now, we need to find the new divisor that is 9 because 429 x 9 = 3861</p>
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<p><strong>Step 8:</strong>Now, we need to find the new divisor that is 9 because 429 x 9 = 3861</p>
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<p><strong>Step 9:</strong>Subtracting 3861 from 15000, we get the result 1139.</p>
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<p><strong>Step 9:</strong>Subtracting 3861 from 15000, we get the result 1139.</p>
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<p><strong>Step 10:</strong>Now the quotient is 21.3</p>
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<p><strong>Step 10:</strong>Now the quotient is 21.3</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 √456 is approximately 21.35.</p>
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<p>So the square root of √456 is approximately 21.35.</p>
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