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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 useful 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 useful 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 2940, we need to group it as 40 and 29.</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 2940, we need to group it as 40 and 29.</p>
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<p><strong>Step 2:</strong>Now we need to find n whose square is close to 29. We can say n is 5 because 5^2 = 25, which is<a>less than</a>or equal to 29. Now the<a>quotient</a>is 5, and after subtracting 25 from 29, 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 close to 29. We can say n is 5 because 5^2 = 25, which is<a>less than</a>or equal to 29. Now the<a>quotient</a>is 5, and after subtracting 25 from 29, the<a>remainder</a>is 4.</p>
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<p><strong>Step 3:</strong>Now let us bring down 40, which is the new<a>dividend</a>. Add the old<a>divisor</a>with the same number 5 + 5 to get 10, which will be our new divisor.</p>
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<p><strong>Step 3:</strong>Now let us bring down 40, which is the new<a>dividend</a>. Add the old<a>divisor</a>with the same number 5 + 5 to get 10, which will be our new divisor.</p>
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<p><strong>Step 4:</strong>The new divisor will be the sum of the dividend and quotient. Now we get 10n as the new divisor, we need to find the value of n.</p>
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<p><strong>Step 4:</strong>The new divisor will be the sum of the dividend and quotient. Now we get 10n as the new divisor, we need to find the value of n.</p>
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<p><strong>Step 5:</strong>The next step is finding 10n × n ≤ 440. Let us consider n as 4, now 10 x 4 x 4 = 160</p>
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<p><strong>Step 5:</strong>The next step is finding 10n × n ≤ 440. Let us consider n as 4, now 10 x 4 x 4 = 160</p>
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<p><strong>Step 6:</strong>Subtracting 160 from 440, the difference is 280, and the quotient is 54.</p>
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<p><strong>Step 6:</strong>Subtracting 160 from 440, the difference is 280, and the quotient is 54.</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 28000.</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 28000.</p>
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<p><strong>Step 8:</strong>Now we need to find the new divisor, which is 108, because 108 x 108 = 11664</p>
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<p><strong>Step 8:</strong>Now we need to find the new divisor, which is 108, because 108 x 108 = 11664</p>
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<p><strong>Step 9:</strong>Subtracting 11664 from 28000, we get the result 16336.</p>
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<p><strong>Step 9:</strong>Subtracting 11664 from 28000, we get the result 16336.</p>
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<p><strong>Step 10:</strong>Now the quotient is 54.2</p>
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<p><strong>Step 10:</strong>Now the quotient is 54.2</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, values continue till 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, values continue till the remainder is zero.</p>
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<p>So the square root of √2940 ≈ 54.22</p>
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<p>So the square root of √2940 ≈ 54.22</p>
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