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Original
2026-01-01
Modified
2026-02-28
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<p>The long<a>division</a>method is particularly used for non-perfect square numbers. In this method, we need to check the closest perfect square number to 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 long<a>division</a>method is particularly used for non-perfect square numbers. In this method, we need to check the closest perfect square number to 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, we need to group the numbers from right to left. In the case of 2035, we group it as 35 and 20.</p>
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<p><strong>Step 1:</strong>To begin, we need to group the numbers from right to left. In the case of 2035, we group it as 35 and 20.</p>
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<p><strong>Step 2:</strong>Now we need to find n whose square is closest to 20. We can say n is ‘4’ because 4 x 4 = 16, which is<a>less than</a>20. The<a>quotient</a>is 4, and after subtracting 16 from 20, the<a>remainder</a>is 4.</p>
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<p><strong>Step 2:</strong>Now we need to find n whose square is closest to 20. We can say n is ‘4’ because 4 x 4 = 16, which is<a>less than</a>20. The<a>quotient</a>is 4, and after subtracting 16 from 20, the<a>remainder</a>is 4.</p>
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<p><strong>Step 3:</strong>Bring down 35, making the new<a>dividend</a>435. Add the old<a>divisor</a>with the same number, 4 + 4, to get 8, which will be our new divisor.</p>
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<p><strong>Step 3:</strong>Bring down 35, making the new<a>dividend</a>435. Add the old<a>divisor</a>with the same number, 4 + 4, to get 8, which will be our new divisor.</p>
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<p><strong>Step 4:</strong>The new divisor will be 8n. We need to find the value of n such that 8n x n ≤ 435. Let us consider n as 5, then 85 x 5 = 425.</p>
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<p><strong>Step 4:</strong>The new divisor will be 8n. We need to find the value of n such that 8n x n ≤ 435. Let us consider n as 5, then 85 x 5 = 425.</p>
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<p><strong>Step 5:</strong>Subtract 425 from 435, the difference is 10, and the quotient is 45.</p>
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<p><strong>Step 5:</strong>Subtract 425 from 435, the difference is 10, and the quotient is 45.</p>
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<p><strong>Step 6:</strong>Since the remainder is less than the divisor, we need to add a decimal point. Adding the decimal point allows us to add two zeroes to the remainder. Now the new dividend is 1000.</p>
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<p><strong>Step 6:</strong>Since the remainder is less than the divisor, we need to add a decimal point. Adding the decimal point allows us to add two zeroes to the remainder. Now the new dividend is 1000.</p>
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<p><strong>Step 7:</strong>Now we need to find the new divisor that is 901, since 901 x 1 = 901.</p>
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<p><strong>Step 7:</strong>Now we need to find the new divisor that is 901, since 901 x 1 = 901.</p>
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<p><strong>Step 8:</strong>Subtracting 901 from 1000 gives the result 99.</p>
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<p><strong>Step 8:</strong>Subtracting 901 from 1000 gives the result 99.</p>
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<p><strong>Step 9:</strong>The quotient is 45.1</p>
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<p><strong>Step 9:</strong>The quotient is 45.1</p>
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<p><strong>Step 10:</strong>Continue doing these steps until we get two numbers after the decimal point or until the remainder is zero.</p>
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<p><strong>Step 10:</strong>Continue doing these steps until we get two numbers after the decimal point or until the remainder is zero.</p>
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<p>So the square root of √2035 ≈ 45.10</p>
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<p>So the square root of √2035 ≈ 45.10</p>
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