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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 group the numbers from right to left. In the case of 341, we group it as 41 and 3.</p>
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<p><strong>Step 1:</strong>To begin with, we group the numbers from right to left. In the case of 341, we group it as 41 and 3.</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 x 1 is lesser than or equal to 3. Now the<a>quotient</a>is 1, and 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<a>less than</a>or equal to 3. We can say n as ‘1’ because 1 x 1 is lesser than or equal to 3. Now the<a>quotient</a>is 1, and after subtracting 1 from 3, the<a>remainder</a>is 2.</p>
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<p><strong>Step 3:</strong>Bring down 41, which is the new<a>dividend</a>. Add the old<a>divisor</a>with the same number 1 + 1 to get 2, which will be our new divisor.</p>
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<p><strong>Step 3:</strong>Bring down 41, which is the new<a>dividend</a>. Add the old<a>divisor</a>with the same number 1 + 1 to get 2, which will be our new divisor.</p>
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<p><strong>Step 4:</strong>The new divisor will be 2, and we need to find 2n x n ≤ 241. Let’s consider n as 8, then 28 x 8 = 224.</p>
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<p><strong>Step 4:</strong>The new divisor will be 2, and we need to find 2n x n ≤ 241. Let’s consider n as 8, then 28 x 8 = 224.</p>
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<p><strong>Step 5:</strong>Subtract 224 from 241, the difference is 17, and the quotient is 18.</p>
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<p><strong>Step 5:</strong>Subtract 224 from 241, the difference is 17, and the quotient is 18.</p>
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<p><strong>Step 6:</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 1700.</p>
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<p><strong>Step 6:</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 1700.</p>
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<p><strong>Step 7:</strong>Now we need to find the new divisor. The new divisor is 369 because 369 x 4 = 1476.</p>
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<p><strong>Step 7:</strong>Now we need to find the new divisor. The new divisor is 369 because 369 x 4 = 1476.</p>
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<p><strong>Step 8:</strong>Subtract 1476 from 1700, and the remainder is 224.</p>
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<p><strong>Step 8:</strong>Subtract 1476 from 1700, and the remainder is 224.</p>
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<p><strong>Step 9:</strong>Continue this method until the desired precision is achieved.</p>
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<p><strong>Step 9:</strong>Continue this method until the desired precision is achieved.</p>
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<p>So the square root of √341 ≈ 18.47</p>
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<p>So the square root of √341 ≈ 18.47</p>
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