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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 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 1632, we need to group it as 32 and 16.</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 1632, we need to group it as 32 and 16.</p>
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<p><strong>Step 2:</strong>Now we need to find a number whose square is<a>less than</a>or equal to 16. We can say this number is 4 because (4 times 4 = 16). Now the<a>quotient</a>is 4, and after subtracting 16 - 16, the<a>remainder</a>is 0.</p>
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<p><strong>Step 2:</strong>Now we need to find a number whose square is<a>less than</a>or equal to 16. We can say this number is 4 because (4 times 4 = 16). Now the<a>quotient</a>is 4, and after subtracting 16 - 16, the<a>remainder</a>is 0.</p>
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<p><strong>Step 3:</strong>Now let us bring down 32, which is the new<a>dividend</a>. Add the old<a>divisor</a>with the same number, \(4 + 4 = 8\), which will be our new divisor.</p>
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<p><strong>Step 3:</strong>Now let us bring down 32, which is the new<a>dividend</a>. Add the old<a>divisor</a>with the same number, \(4 + 4 = 8\), which will be our new divisor.</p>
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<p><strong>Step 4:</strong>Now we get 8n as the new divisor, and we need to find the value of n.</p>
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<p><strong>Step 4:</strong>Now we get 8n 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 (8n times n leq 32). Let us consider n as 3, now (8 times 3 = 24).</p>
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<p><strong>Step 5:</strong>The next step is finding (8n times n leq 32). Let us consider n as 3, now (8 times 3 = 24).</p>
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<p><strong>Step 6:</strong>Subtracting 32 from 24, the difference is 8, and the quotient is 43.</p>
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<p><strong>Step 6:</strong>Subtracting 32 from 24, the difference is 8, and the quotient is 43.</p>
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<p><strong>Step 7:</strong>Since the dividend is less than 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 800.</p>
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<p><strong>Step 7:</strong>Since the dividend is less than 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 800.</p>
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<p><strong>Step 8:</strong>Now we need to find the new divisor, which is 406 because (406 times 1 = 406).</p>
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<p><strong>Step 8:</strong>Now we need to find the new divisor, which is 406 because (406 times 1 = 406).</p>
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<p><strong>Step 9:</strong>Subtracting 406 from 800, we get the result 394.</p>
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<p><strong>Step 9:</strong>Subtracting 406 from 800, we get the result 394.</p>
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<p><strong>Step 10:</strong>Now the quotient is 40.39.</p>
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<p><strong>Step 10:</strong>Now the quotient is 40.39.</p>
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<p><strong>Step 11:</strong>Continue doing these steps until we get two numbers after the decimal point. Suppose there are no decimal values, continue until 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 there are no decimal values, continue until the remainder is zero.</p>
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<p>So the square root of √1632 is approximately 40.398.</p>
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<p>So the square root of √1632 is approximately 40.398.</p>
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