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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 5392, we need to group it as 92 and 53.</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 5392, we need to group it as 92 and 53.</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 53. We can say n as ‘7’ because 7 x 7 = 49, which is lesser than or equal to 53. Now the<a>quotient</a>is 7 after subtracting 53 - 49, 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 53. We can say n as ‘7’ because 7 x 7 = 49, which is lesser than or equal to 53. Now the<a>quotient</a>is 7 after subtracting 53 - 49, the<a>remainder</a>is 4.</p>
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<p><strong>Step 3:</strong>Now let us bring down 92, which is the new<a>dividend</a>. Add the old<a>divisor</a>(7) with itself, we get 14, which will be our new divisor.</p>
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<p><strong>Step 3:</strong>Now let us bring down 92, which is the new<a>dividend</a>. Add the old<a>divisor</a>(7) with itself, we get 14, which will be our new divisor.</p>
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<p><strong>Step 4:</strong>The new divisor will be 14n. We need to find the value of n.</p>
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<p><strong>Step 4:</strong>The new divisor will be 14n. We need to find the value of n.</p>
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<p><strong>Step 5:</strong>The next step is finding 14n × n ≤ 492. Let us consider n as 3, now 14 x 3 = 42, so 423 x 3 = 1269, which is less than or equal to 492.</p>
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<p><strong>Step 5:</strong>The next step is finding 14n × n ≤ 492. Let us consider n as 3, now 14 x 3 = 42, so 423 x 3 = 1269, which is less than or equal to 492.</p>
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<p><strong>Step 6:</strong>Subtract 492 from 423, the difference is 69.</p>
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<p><strong>Step 6:</strong>Subtract 492 from 423, the difference is 69.</p>
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<p><strong>Step 7:</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 6900.</p>
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<p><strong>Step 7:</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 6900.</p>
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<p><strong>Step 8:</strong>Now we need to find the new divisor. It turns out to be 147, because 1473 x 3 = 4419.</p>
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<p><strong>Step 8:</strong>Now we need to find the new divisor. It turns out to be 147, because 1473 x 3 = 4419.</p>
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<p><strong>Step 9:</strong>Subtracting 4419 from 6900, we get the result 2481.</p>
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<p><strong>Step 9:</strong>Subtracting 4419 from 6900, we get the result 2481.</p>
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<p><strong>Step 10:</strong>Now the quotient is 73.4.</p>
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<p><strong>Step 10:</strong>Now the quotient is 73.4.</p>
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<p><strong>Step 11:</strong>Continue doing these steps until you get two numbers after the decimal point. Suppose there is no decimal value, continue until the remainder is zero.</p>
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<p><strong>Step 11:</strong>Continue doing these steps until you get two numbers after the decimal point. Suppose there is no decimal value, continue until the remainder is zero.</p>
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<p>So, the square root of √5392 is approximately 73.41.</p>
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<p>So, the square root of √5392 is approximately 73.41.</p>
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