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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 1420, we need to group it as 20 and 14.</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 1420, we need to group it as 20 and 14.</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 14. We can use n = 3 because 3² = 9, which is less than 14. The<a>quotient</a>is 3, and after subtracting 9 from 14, the<a>remainder</a>is 5.</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 14. We can use n = 3 because 3² = 9, which is less than 14. The<a>quotient</a>is 3, and after subtracting 9 from 14, the<a>remainder</a>is 5.</p>
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<p><strong>Step 3:</strong>Now let us bring down 20, which is the new<a>dividend</a>. Add the old<a>divisor</a>with the same number, 3 + 3, to get 6, which will be our new divisor.</p>
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<p><strong>Step 3:</strong>Now let us bring down 20, which is the new<a>dividend</a>. Add the old<a>divisor</a>with the same number, 3 + 3, to get 6, which will be our new divisor.</p>
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<p><strong>Step 4:</strong>The new divisor will be 6n. We need to find the value of n.</p>
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<p><strong>Step 4:</strong>The new divisor will be 6n. We need to find the value of n.</p>
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<p><strong>Step 5:</strong>Find 6n × n ≤ 520. Let us consider n as 8, now 68 x 8 = 544.</p>
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<p><strong>Step 5:</strong>Find 6n × n ≤ 520. Let us consider n as 8, now 68 x 8 = 544.</p>
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<p><strong>Step 6:</strong>Subtract 520 from 544, the difference is negative, so we try n as 7. 67 x 7 = 469.</p>
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<p><strong>Step 6:</strong>Subtract 520 from 544, the difference is negative, so we try n as 7. 67 x 7 = 469.</p>
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<p><strong>Step 7:</strong>Subtracting 469 from 520 gives 51, and the quotient now is 37.</p>
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<p><strong>Step 7:</strong>Subtracting 469 from 520 gives 51, and the quotient now is 37.</p>
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<p><strong>Step 8:</strong>Since the dividend is less than 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 5100.</p>
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<p><strong>Step 8:</strong>Since the dividend is less than 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 5100.</p>
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<p><strong>Step 9:</strong>Now we need to find the new divisor, which is 754, because 754 x 7 = 5278.</p>
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<p><strong>Step 9:</strong>Now we need to find the new divisor, which is 754, because 754 x 7 = 5278.</p>
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<p><strong>Step 10:</strong>Subtracting 5278 from 5100 gives a negative result, so we try n as 6.</p>
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<p><strong>Step 10:</strong>Subtracting 5278 from 5100 gives a negative result, so we try n as 6.</p>
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<p><strong>Step 11:</strong>Continue doing these steps until we get two numbers after the decimal point. Suppose if 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 we get two numbers after the decimal point. Suppose if there is no decimal value, continue until the remainder is zero.</p>
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<p>So the square root of √1420 is approximately 37.67.</p>
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<p>So the square root of √1420 is approximately 37.67.</p>
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