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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 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 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, group the numbers from right to left. In the case of 435, we group it as 35 and 4.</p>
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<p><strong>Step 1:</strong>To begin with, group the numbers from right to left. In the case of 435, we group it as 35 and 4.</p>
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<p><strong>Step 2:</strong>Find n whose square is close to 4. We can say n as ‘2’ because 2 x 2 is 4. Now the<a>quotient</a>is 2, and after subtracting, the<a>remainder</a>is 0.</p>
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<p><strong>Step 2:</strong>Find n whose square is close to 4. We can say n as ‘2’ because 2 x 2 is 4. Now the<a>quotient</a>is 2, and after subtracting, the<a>remainder</a>is 0.</p>
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<p><strong>Step 3:</strong>Bring down 35, 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>Bring down 35, 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>Find 4n × n ≤ 35. Consider n as 8; now 4 x 8 x 8 = 32.</p>
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<p><strong>Step 5:</strong>Find 4n × n ≤ 35. Consider n as 8; now 4 x 8 x 8 = 32.</p>
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<p><strong>Step 6:</strong>Subtract 32 from 35; the difference is 3, and the quotient is 20.</p>
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<p><strong>Step 6:</strong>Subtract 32 from 35; the difference is 3, and the quotient is 20.</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 300.</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 300.</p>
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<p><strong>Step 8:</strong>Find the new divisor, which is 208 because 208 x 1 = 208.</p>
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<p><strong>Step 8:</strong>Find the new divisor, which is 208 because 208 x 1 = 208.</p>
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<p><strong>Step 9:</strong>Subtract 208 from 300; we get 92.</p>
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<p><strong>Step 9:</strong>Subtract 208 from 300; we get 92.</p>
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<p><strong>Step 10:</strong>Now the quotient is 20.8.</p>
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<p><strong>Step 10:</strong>Now the quotient is 20.8.</p>
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<p><strong>Step 11:</strong>Continue these steps until we get two numbers after the decimal point. If there is no decimal value, continue until the remainder is zero.</p>
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<p><strong>Step 11:</strong>Continue these steps until we get two numbers after the decimal point. If there is no decimal value, continue until the remainder is zero.</p>
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<p><strong>So the square root of √435 ≈ 20.86.</strong></p>
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<p><strong>So the square root of √435 ≈ 20.86.</strong></p>
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