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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 736, we need to group it as 36 and 7.</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 736, we need to group it as 36 and 7.</p>
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<p><strong>Step 2:</strong>Now we need to find n whose square is 7. We can say n is ‘2’ because 2 x 2 = 4, which is lesser than or equal to 7. Now the<a>quotient</a>is 2, after subtracting 4 from 7, the<a>remainder</a>is 3.</p>
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<p><strong>Step 2:</strong>Now we need to find n whose square is 7. We can say n is ‘2’ because 2 x 2 = 4, which is lesser than or equal to 7. Now the<a>quotient</a>is 2, after subtracting 4 from 7, the<a>remainder</a>is 3.</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, we 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, 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, 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 ≤ 336. Let us consider n as 7, now 47 x 7 = 329.</p>
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<p><strong>Step 5:</strong>The next step is finding 4n x n ≤ 336. Let us consider n as 7, now 47 x 7 = 329.</p>
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<p><strong>Step 6:</strong>Subtract 329 from 336, the difference is 7, and the quotient is 27.</p>
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<p><strong>Step 6:</strong>Subtract 329 from 336, the difference is 7, and the quotient is 27.</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 700.</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 700.</p>
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<p><strong>Step 8:</strong>Now we need to find the new divisor that is 271 because 271 x 2 = 542.</p>
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<p><strong>Step 8:</strong>Now we need to find the new divisor that is 271 because 271 x 2 = 542.</p>
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<p><strong>Step 9:</strong>Subtracting 542 from 700, we get the result 158.</p>
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<p><strong>Step 9:</strong>Subtracting 542 from 700, we get the result 158.</p>
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<p><strong>Step 10:</strong>Now the quotient is 27.1.</p>
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<p><strong>Step 10:</strong>Now the quotient is 27.1.</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.</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.</p>
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<p>So the square root of √736 is approximately 27.13.</p>
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<p>So the square root of √736 is approximately 27.13.</p>
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