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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 697, we need to group it as 97 and 6.</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 697, we need to group it as 97 and 6.</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 6. We can say n is '2' because 2 x 2 = 4, which is lesser than or equal to 6. Now the<a>quotient</a>is 2, after subtracting 4 from 6, the<a>remainder</a>is 2.</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 6. We can say n is '2' because 2 x 2 = 4, which is lesser than or equal to 6. Now the<a>quotient</a>is 2, after subtracting 4 from 6, the<a>remainder</a>is 2.</p>
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<p><strong>Step 3:</strong>Now let us bring down 97, which makes the new<a>dividend</a>297. 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 97, which makes the new<a>dividend</a>297. 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 4n. We need to find the value of n such that 4n x n is less than or equal to 297. Let us consider n as 6, now 46 x 6 = 276.</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 is less than or equal to 297. Let us consider n as 6, now 46 x 6 = 276.</p>
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<p><strong>Step 5:</strong>Subtract 276 from 297; the difference is 21, and the quotient is 26.</p>
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<p><strong>Step 5:</strong>Subtract 276 from 297; the difference is 21, and the quotient is 26.</p>
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<p><strong>Step 6:</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 2100.</p>
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<p><strong>Step 6:</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 2100.</p>
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<p><strong>Step 7:</strong>Now we need to find the new divisor which is 529 because 529 x 4 = 2116.</p>
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<p><strong>Step 7:</strong>Now we need to find the new divisor which is 529 because 529 x 4 = 2116.</p>
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<p><strong>Step 8:</strong>Subtracting 2116 from 2100 is not possible, so we use 26.4 as the quotient.</p>
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<p><strong>Step 8:</strong>Subtracting 2116 from 2100 is not possible, so we use 26.4 as the quotient.</p>
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<p><strong>Step 9:</strong>Continue doing these steps until we get two numbers after the decimal point. If there is no decimal value, continue until the remainder is zero.</p>
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<p><strong>Step 9:</strong>Continue doing these steps until we get two numbers after the decimal point. If there is no decimal value, continue until the remainder is zero.</p>
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<p>So the square root of √697 is approximately 26.40.</p>
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<p>So the square root of √697 is approximately 26.40.</p>
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