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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 470, we group it as 70 and 4.</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 470, we group it as 70 and 4.</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 4. We can say n is ‘2’ because 2 × 2 = 4. Now the<a>quotient</a>is 2. After subtracting 4 - 4, the<a>remainder</a>is 0.</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 4. We can say n is ‘2’ because 2 × 2 = 4. Now the<a>quotient</a>is 2. After subtracting 4 - 4, the<a>remainder</a>is 0.</p>
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<p><strong>Step 3:</strong>Now let us bring down 70, which is the new<a>dividend</a>. Add the old<a>divisor</a>with the same number: 2 + 2 = 4, which will be our new divisor.</p>
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<p><strong>Step 3:</strong>Now let us bring down 70, which is the new<a>dividend</a>. Add the old<a>divisor</a>with the same number: 2 + 2 = 4, 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 4n as the new divisor, and 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 4n as the new divisor, and we need to find the value of n.</p>
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<p><strong>Step 5:</strong>The next step is finding 4n × n ≤ 70. Let us consider n as 1, now 41 × 1 = 41.</p>
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<p><strong>Step 5:</strong>The next step is finding 4n × n ≤ 70. Let us consider n as 1, now 41 × 1 = 41.</p>
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<p><strong>Step 6:</strong>Subtract 70 from 41; the difference is 29, and the quotient is 21.</p>
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<p><strong>Step 6:</strong>Subtract 70 from 41; the difference is 29, and the quotient is 21.</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 2900.</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 2900.</p>
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<p><strong>Step 8:</strong>Now we need to find the new divisor that is 429 because 429 × 6 = 2574.</p>
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<p><strong>Step 8:</strong>Now we need to find the new divisor that is 429 because 429 × 6 = 2574.</p>
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<p><strong>Step 9:</strong>Subtracting 2574 from 2900, we get the result 326.</p>
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<p><strong>Step 9:</strong>Subtracting 2574 from 2900, we get the result 326.</p>
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<p><strong>Step 10:</strong>Now the quotient is 21.6.</p>
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<p><strong>Step 10:</strong>Now the quotient is 21.6.</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 are 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 are no decimal values, continue till the remainder is zero.</p>
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<p>So the square root of √470 ≈ 21.68.</p>
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<p>So the square root of √470 ≈ 21.68.</p>
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