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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 322, we need to group it as 22 and 3.</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 322, we need to group it as 22 and 3.</p>
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<p><strong>Step 2:</strong>Now we need to find n whose square is 3. We can say n as ‘1’ because 1 x 1 is<a>less than</a>or equal to 3. Now the<a>quotient</a>is 1, after subtracting 1 from 3, the<a>remainder</a>is 2.</p>
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<p><strong>Step 2:</strong>Now we need to find n whose square is 3. We can say n as ‘1’ because 1 x 1 is<a>less than</a>or equal to 3. Now the<a>quotient</a>is 1, after subtracting 1 from 3, the<a>remainder</a>is 2.</p>
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<p><strong>Step 3:</strong>Now let us bring down 22, which is the new<a>dividend</a>. Add the old<a>divisor</a>with the same number 1 + 1, we get 2, which will be our new divisor.</p>
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<p><strong>Step 3:</strong>Now let us bring down 22, which is the new<a>dividend</a>. Add the old<a>divisor</a>with the same number 1 + 1, we get 2, which will be our new divisor.</p>
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<p><strong>Step 4:</strong>The new divisor will be the<a>sum</a>of the dividend and quotient. Now we get 2n 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<a>sum</a>of the dividend and quotient. Now we get 2n 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 2n × n ≤ 222. Let us consider n as 8, now 28 x 8 = 224.</p>
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<p><strong>Step 5:</strong>The next step is finding 2n × n ≤ 222. Let us consider n as 8, now 28 x 8 = 224.</p>
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<p><strong>Step 6:</strong>Subtract 222 from 224. Since 224 is greater than 222, we try n as 7. Then, 27 x 7 = 189.</p>
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<p><strong>Step 6:</strong>Subtract 222 from 224. Since 224 is greater than 222, we try n as 7. Then, 27 x 7 = 189.</p>
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<p><strong>Step 7:</strong>Subtract 189 from 222, the difference is 33, and the quotient is 17.</p>
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<p><strong>Step 7:</strong>Subtract 189 from 222, the difference is 33, and the quotient is 17.</p>
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<p><strong>Step 8:</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 3300.</p>
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<p><strong>Step 8:</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 3300.</p>
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<p><strong>Step 9:</strong>Now we need to find the new divisor that is 179 because 1799 × 9 = 16191.</p>
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<p><strong>Step 9:</strong>Now we need to find the new divisor that is 179 because 1799 × 9 = 16191.</p>
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<p><strong>Step 10:</strong>Subtracting 16191 from 3300, we get the result 16809.</p>
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<p><strong>Step 10:</strong>Subtracting 16191 from 3300, we get the result 16809.</p>
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<p><strong>Step 11:</strong>Now the quotient is 17.9.</p>
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<p><strong>Step 11:</strong>Now the quotient is 17.9.</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 are 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 are no decimal values, continue till the remainder is zero.</p>
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<p>So the square root of √322 is approximately 17.94.</p>
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<p>So the square root of √322 is approximately 17.94.</p>
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