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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 722, we need to group it as 22 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 722, we need to group it as 22 and 7.</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 7. We can say n is ‘2’ because 2 x 2 = 4 is less than 7. Now the<a>quotient</a>is 2, and 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<a>less than</a>or equal to 7. We can say n is ‘2’ because 2 x 2 = 4 is less than 7. Now the<a>quotient</a>is 2, and 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 22, making the new<a>dividend</a>322. 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 22, making the new<a>dividend</a>322. 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>We now have 4n as the new divisor; we need to find n such that 4n x n is less than or equal to 322. By trying n = 6, we get 46 x 6 = 276.</p>
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<p><strong>Step 4:</strong>We now have 4n as the new divisor; we need to find n such that 4n x n is less than or equal to 322. By trying n = 6, we get 46 x 6 = 276.</p>
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<p><strong>Step 5:</strong>Subtract 276 from 322, getting a remainder of 46. The quotient is now 26.</p>
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<p><strong>Step 5:</strong>Subtract 276 from 322, getting a remainder of 46. The quotient is now 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 bring down two zeroes to the dividend. Now the new dividend is 4600.</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 bring down two zeroes to the dividend. Now the new dividend is 4600.</p>
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<p><strong>Step 7:</strong>Now we need to find the new divisor that is 268 because 2688 x 8 = 4304.</p>
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<p><strong>Step 7:</strong>Now we need to find the new divisor that is 268 because 2688 x 8 = 4304.</p>
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<p><strong>Step 8:</strong>Subtracting 4304 from 4600, we get a remainder of 296.</p>
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<p><strong>Step 8:</strong>Subtracting 4304 from 4600, we get a remainder of 296.</p>
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<p><strong>Step 9:</strong>Now the quotient is 26.8</p>
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<p><strong>Step 9:</strong>Now the quotient is 26.8</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 are no decimal values, 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 are no decimal values, continue till the remainder is zero.</p>
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<p>So the square root of √722 is approximately 26.85.</p>
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<p>So the square root of √722 is approximately 26.85.</p>
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