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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 right to left. In the case of 1850, we group it as 18 and 50.</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 1850, we group it as 18 and 50.</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 18. We can say n is ‘4’ because 4 × 4 = 16, which is less than 18. Now the<a>quotient</a>is 4, after subtracting 16 from 18, 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 18. We can say n is ‘4’ because 4 × 4 = 16, which is less than 18. Now the<a>quotient</a>is 4, after subtracting 16 from 18, the<a>remainder</a>is 2.</p>
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<p><strong>Step 3:</strong>Now bring down 50, making the new<a>dividend</a>250. 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>Now bring down 50, making the new<a>dividend</a>250. 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 the sum of the dividend and quotient. Now we get 8n 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 sum of the dividend and quotient. Now we get 8n 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 8n × n ≤ 250. Let us consider n as 3, so 83 × 3 = 249.</p>
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<p><strong>Step 5:</strong>The next step is finding 8n × n ≤ 250. Let us consider n as 3, so 83 × 3 = 249.</p>
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<p><strong>Step 6:</strong>Subtract 249 from 250; the difference is 1, and the quotient is 43.</p>
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<p><strong>Step 6:</strong>Subtract 249 from 250; the difference is 1, and the quotient is 43.</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 100.</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 100.</p>
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<p><strong>Step 8:</strong>Now we need to find the new divisor that is 860, as 860 × 1 = 860.</p>
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<p><strong>Step 8:</strong>Now we need to find the new divisor that is 860, as 860 × 1 = 860.</p>
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<p><strong>Step 9:</strong>Subtracting 860 from 1000, we get the result 140.</p>
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<p><strong>Step 9:</strong>Subtracting 860 from 1000, we get the result 140.</p>
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<p><strong>Step 10:</strong>Now the quotient is 43.0.</p>
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<p><strong>Step 10:</strong>Now the quotient is 43.0.</p>
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<p><strong>Step 11:</strong>Continue doing these steps until we get two numbers after the decimal point. Suppose 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 there are no decimal values; continue till the remainder is zero.</p>
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<p>So the square root of √1850 is approximately 43.04.</p>
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<p>So the square root of √1850 is approximately 43.04.</p>
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