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2026-01-01
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2026-02-28
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<p>The long<a>division</a>method is particularly useful 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 long<a>division</a>method is particularly useful 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, group the numbers from right to left. In the case of 1828, group it as 18 and 28.</p>
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<p><strong>Step 1:</strong>To begin with, group the numbers from right to left. In the case of 1828, group it as 18 and 28.</p>
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<p><strong>Step 2:</strong>Find n whose square is<a>less than</a>or equal to 18. We can say n is ‘4’ because 4 x 4 = 16, which is less than 18. The<a>quotient</a>is 4, and after subtracting 16 from 18, the<a>remainder</a>is 2.</p>
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<p><strong>Step 2:</strong>Find n whose square is<a>less than</a>or equal to 18. We can say n is ‘4’ because 4 x 4 = 16, which is less than 18. The<a>quotient</a>is 4, and after subtracting 16 from 18, the<a>remainder</a>is 2.</p>
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<p><strong>Step 3:</strong>Bring down 28, creating a new<a>dividend</a>of 228. Add the old<a>divisor</a>with itself: 4 + 4 = 8, which will be our new divisor.</p>
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<p><strong>Step 3:</strong>Bring down 28, creating a new<a>dividend</a>of 228. Add the old<a>divisor</a>with itself: 4 + 4 = 8, which will be our new divisor.</p>
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<p><strong>Step 4:</strong>Find n such that 8n x n is less than or equal to 228. Let n be 2, then 82 x 2 = 164.</p>
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<p><strong>Step 4:</strong>Find n such that 8n x n is less than or equal to 228. Let n be 2, then 82 x 2 = 164.</p>
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<p><strong>Step 5:</strong>Subtract 164 from 228, resulting in 64. The quotient is 42.</p>
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<p><strong>Step 5:</strong>Subtract 164 from 228, resulting in 64. The quotient is 42.</p>
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<p><strong>Step 6:</strong>Since the dividend is less than the divisor, add a<a>decimal</a>point and bring down two zeros. The new dividend is 6400.</p>
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<p><strong>Step 6:</strong>Since the dividend is less than the divisor, add a<a>decimal</a>point and bring down two zeros. The new dividend is 6400.</p>
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<p><strong>Step 7:</strong>Find the new divisor. Adding another 2 to 84 gives 842. Now find n such that 842n x n is less than or equal to 6400. Let n be 7, then 842 x 7 = 5894.</p>
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<p><strong>Step 7:</strong>Find the new divisor. Adding another 2 to 84 gives 842. Now find n such that 842n x n is less than or equal to 6400. Let n be 7, then 842 x 7 = 5894.</p>
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<p><strong>Step 8:</strong>Subtract 5894 from 6400, resulting in 506.</p>
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<p><strong>Step 8:</strong>Subtract 5894 from 6400, resulting in 506.</p>
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<p><strong>Step 9:</strong>The quotient is approximately 42.7.</p>
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<p><strong>Step 9:</strong>The quotient is approximately 42.7.</p>
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<p><strong>Step 10:</strong>Continue these steps until you achieve the desired decimal precision.</p>
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<p><strong>Step 10:</strong>Continue these steps until you achieve the desired decimal precision.</p>
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<p>Thus, the square root of √1828 is approximately 42.7465.</p>
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<p>Thus, the square root of √1828 is approximately 42.7465.</p>
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