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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 719, we need to group it as 19 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 719, we need to group it as 19 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 as ‘2’ because 2² = 4 is lesser than 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 as ‘2’ because 2² = 4 is lesser than 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 19, making it 319 as the new<a>dividend</a>. 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 19, making it 319 as the new<a>dividend</a>. 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 is 4n. We need to find the value of n.</p>
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<p><strong>Step 4:</strong>The new divisor is 4n. We need to find the value of n.</p>
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<p><strong>Step 5:</strong>The next step is finding 4n × n ≤ 319. Let us consider n as 7, now 47 × 7 = 329.</p>
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<p><strong>Step 5:</strong>The next step is finding 4n × n ≤ 319. Let us consider n as 7, now 47 × 7 = 329.</p>
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<p><strong>Step 6:</strong>Since 329 is more than 319, consider n as 6, now 46 × 6 = 276.</p>
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<p><strong>Step 6:</strong>Since 329 is more than 319, consider n as 6, now 46 × 6 = 276.</p>
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<p><strong>Step 7:</strong>Subtract 276 from 319, the difference is 43, and the quotient is 26.</p>
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<p><strong>Step 7:</strong>Subtract 276 from 319, the difference is 43, and the quotient is 26.</p>
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<p><strong>Step 8:</strong>Since the dividend is<a>less than</a>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 4300.</p>
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<p><strong>Step 8:</strong>Since the dividend is<a>less than</a>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 4300.</p>
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<p><strong>Step 9:</strong>Now we need to find the new divisor that is 267 because 267 × 7 = 1869.</p>
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<p><strong>Step 9:</strong>Now we need to find the new divisor that is 267 because 267 × 7 = 1869.</p>
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<p><strong>Step 10:</strong>Subtracting 1869 from 4300 we get the result 2431.</p>
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<p><strong>Step 10:</strong>Subtracting 1869 from 4300 we get the result 2431.</p>
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<p><strong>Step 11:</strong>Now the quotient is 26.7.</p>
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<p><strong>Step 11:</strong>Now the quotient is 26.7.</p>
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<p><strong>Step 12:</strong>Continue doing these steps until we get two numbers after the decimal point. Suppose if there is no decimal values continue till the remainder is zero.</p>
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<p><strong>Step 12:</strong>Continue doing these steps until we get two numbers after the decimal point. Suppose if there is no decimal values continue till the remainder is zero.</p>
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<p>So the square root of √719 is approximately 26.79.</p>
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<p>So the square root of √719 is approximately 26.79.</p>
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