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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 436, we need to group it as 36 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 436, we need to group it as 36 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 lesser than or 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 lesser than or 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 36, which is the new<a>dividend</a>. Add the old<a>divisor</a>with the same number 2 + 2 to get 4, which will be our new divisor.</p>
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<p><strong>Step 3:</strong>Now let us bring down 36, which is the new<a>dividend</a>. Add the old<a>divisor</a>with the same number 2 + 2 to 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, 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, 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 ≤ 36. Let us consider n as 0, now 40 x 0 = 0.</p>
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<p><strong>Step 5:</strong>The next step is finding 4n x n ≤ 36. Let us consider n as 0, now 40 x 0 = 0.</p>
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<p><strong>Step 6:</strong>Subtract 36 from 0, the difference is 36, and the quotient is 20.</p>
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<p><strong>Step 6:</strong>Subtract 36 from 0, the difference is 36, and the quotient is 20.</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 3600.</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 3600.</p>
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<p><strong>Step 8:</strong>Now we need to find the new divisor that is 9 because 409 x 9 = 3681.</p>
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<p><strong>Step 8:</strong>Now we need to find the new divisor that is 9 because 409 x 9 = 3681.</p>
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<p><strong>Step 9:</strong>Subtracting 3681 from 3600 we get the result -81, so we take the next closest number which gives a positive remainder.</p>
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<p><strong>Step 9:</strong>Subtracting 3681 from 3600 we get the result -81, so we take the next closest number which gives a positive remainder.</p>
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<p><strong>Step 10:</strong>Now the quotient is 20.8.</p>
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<p><strong>Step 10:</strong>Now the quotient is 20.8.</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><strong>So the square root of √436 is approximately 20.88.</strong></p>
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<p><strong>So the square root of √436 is approximately 20.88.</strong></p>
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