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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 the right. In the case of 3.4, we consider it as 3.40.</p>
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<p><strong>Step 1:</strong>To begin with, we need to group the numbers from the right. In the case of 3.4, we consider it as 3.40.</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 3. We can say n as ‘1’ because 1 × 1 is lesser than or equal to 3. Now the<a>quotient</a>is 1, after subtracting 3 - 1, 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<a>less than</a>or equal to 3. We can say n as ‘1’ because 1 × 1 is lesser than or equal to 3. Now the<a>quotient</a>is 1, after subtracting 3 - 1, the<a>remainder</a>is 2.</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 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 40 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 sum 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 sum 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 ≤ 240, let us consider n as 8, now 28 × 8 = 224.</p>
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<p><strong>Step 5</strong>: The next step is finding 2n × n ≤ 240, let us consider n as 8, now 28 × 8 = 224.</p>
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<p><strong>Step 6:</strong>Subtract 240 from 224, the difference is 16, and the quotient is 1.8.</p>
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<p><strong>Step 6:</strong>Subtract 240 from 224, the difference is 16, and the quotient is 1.8.</p>
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<p><strong>Step 7:</strong>Since we want more decimal places, we add two zeroes to the dividend. Now the new dividend is 1600.</p>
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<p><strong>Step 7:</strong>Since we want more decimal places, we add two zeroes to the dividend. Now the new dividend is 1600.</p>
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<p><strong>Step 8:</strong>The new divisor will be 36 because 368 × 8 = 2944.</p>
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<p><strong>Step 8:</strong>The new divisor will be 36 because 368 × 8 = 2944.</p>
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<p><strong>Step 9:</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 9:</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>The square root of √3.4 is approximately 1.843.</p>
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<p>The square root of √3.4 is approximately 1.843.</p>
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