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Original
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<a>square root</a>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<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 850, we need to group it as 50 and 8.</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 850, we need to group it as 50 and 8.</p>
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<p><strong>Step 2:</strong>Now we need to find n whose square is<a>less than</a>or equal to 8. We can say n is ‘2’ because 2 x 2 = 4 is less than or equal to 8. Now the<a>quotient</a>is 2, and after subtracting 4 from 8, the<a>remainder</a>is 4.</p>
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<p><strong>Step 2:</strong>Now we need to find n whose square is<a>less than</a>or equal to 8. We can say n is ‘2’ because 2 x 2 = 4 is less than or equal to 8. Now the<a>quotient</a>is 2, and after subtracting 4 from 8, the<a>remainder</a>is 4.</p>
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<p><strong>Step 3:</strong>Now let us bring down 50, 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 50, 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 4n. We need to find the value of n such that 4n x n ≤ 450. Let us consider n as 9, now 49 x 9 = 441.</p>
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<p><strong>Step 4:</strong>The new divisor will be 4n. We need to find the value of n such that 4n x n ≤ 450. Let us consider n as 9, now 49 x 9 = 441.</p>
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<p><strong>Step 5:</strong>Subtract 441 from 450; the difference is 9, and the quotient is 29.</p>
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<p><strong>Step 5:</strong>Subtract 441 from 450; the difference is 9, and the quotient is 29.</p>
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<p><strong>Step 6:</strong>Since the new 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 900.</p>
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<p><strong>Step 6:</strong>Since the new 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 900.</p>
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<p><strong>Step 7:</strong>Now we need to find the new divisor that is 581, because 581 x 1 = 581.</p>
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<p><strong>Step 7:</strong>Now we need to find the new divisor that is 581, because 581 x 1 = 581.</p>
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<p><strong>Step 8:</strong>Subtracting 581 from 900, we get the result 319.</p>
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<p><strong>Step 8:</strong>Subtracting 581 from 900, we get the result 319.</p>
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<p><strong>Step 9:</strong>Now the quotient is 29.1.</p>
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<p><strong>Step 9:</strong>Now the quotient is 29.1.</p>
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<p><strong>Step 10:</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 10:</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 √850 is approximately 29.15.</p>
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<p>So the square root of √850 is approximately 29.15.</p>
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