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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 2260, we need to group it as 60 and 22.</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 2260, we need to group it as 60 and 22.</p>
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<p><strong>Step 2:</strong>Now, we need to find n whose square is 22. We can say n as ‘4’ because 4 x 4 = 16, which is<a>less than</a>22. Now the<a>quotient</a>is 4, and after subtracting 16 from 22, the<a>remainder</a>is 6.</p>
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<p><strong>Step 2:</strong>Now, we need to find n whose square is 22. We can say n as ‘4’ because 4 x 4 = 16, which is<a>less than</a>22. Now the<a>quotient</a>is 4, and after subtracting 16 from 22, the<a>remainder</a>is 6.</p>
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<p><strong>Step 3:</strong>Now let us bring down 60, making the new<a>dividend</a>660. Add the old<a>divisor</a>with the same number, 4 + 4, to get 8, which will be our new divisor.</p>
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<p><strong>Step 3:</strong>Now let us bring down 60, making the new<a>dividend</a>660. Add the old<a>divisor</a>with the same number, 4 + 4, to get 8, 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 8n 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 8n as the new divisor; we need to find the value of n.</p>
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<p>Step 5: The next step is finding 8n x n ≤ 660. Let's consider n as 7, so 87 x 7 = 609.</p>
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<p>Step 5: The next step is finding 8n x n ≤ 660. Let's consider n as 7, so 87 x 7 = 609.</p>
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<p><strong>Step 6:</strong>Subtract 609 from 660; the difference is 51, and the quotient is 47.</p>
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<p><strong>Step 6:</strong>Subtract 609 from 660; the difference is 51, and the quotient is 47.</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 allows us to add two zeros to the dividend. Now the new dividend is 5100.</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 allows us to add two zeros to the dividend. Now the new dividend is 5100.</p>
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<p><strong>Step 8:</strong>Now we need to find the new divisor, 945, because 945 x 5 = 4725.</p>
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<p><strong>Step 8:</strong>Now we need to find the new divisor, 945, because 945 x 5 = 4725.</p>
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<p><strong>Step 9:</strong>Subtracting 4725 from 5100 gives us 375.</p>
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<p><strong>Step 9:</strong>Subtracting 4725 from 5100 gives us 375.</p>
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<p><strong>Step 10:</strong>Now the quotient is 47.5.</p>
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<p><strong>Step 10:</strong>Now the quotient is 47.5.</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 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 value, continue till the remainder is zero.</p>
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<p>So the square root of √2260 ≈ 47.55.</p>
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<p>So the square root of √2260 ≈ 47.55.</p>
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