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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 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 square root 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 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, we need to group the numbers from right to left. In the case of 9800, we need to group it as 98 and 00.</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 9800, we need to group it as 98 and 00.</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 98. We can say n is ‘9’ because 9 x 9 = 81 which is lesser than 98. Now the<a>quotient</a>is 9 after subtracting 98 - 81, the<a>remainder</a>is 17.</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 98. We can say n is ‘9’ because 9 x 9 = 81 which is lesser than 98. Now the<a>quotient</a>is 9 after subtracting 98 - 81, the<a>remainder</a>is 17.</p>
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<p><strong>Step 3:</strong>Now let us bring down 00 which is the new<a>dividend</a>. Add the old<a>divisor</a>with the same number 9 + 9 = 18, which will be our new divisor.</p>
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<p><strong>Step 3:</strong>Now let us bring down 00 which is the new<a>dividend</a>. Add the old<a>divisor</a>with the same number 9 + 9 = 18, which will be our new divisor.</p>
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<p><strong>Step 4:</strong>The new divisor will be 18n. We need to find n such that 18n × n ≤ 1700.</p>
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<p><strong>Step 4:</strong>The new divisor will be 18n. We need to find n such that 18n × n ≤ 1700.</p>
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<p><strong>Step 5:</strong>The next step is finding 18n × n ≤ 1700. Let us consider n as 9, now 189 x 9 = 1701, which is slightly above 1700, so we choose n = 8. Thus, 188 x 8 = 1504.</p>
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<p><strong>Step 5:</strong>The next step is finding 18n × n ≤ 1700. Let us consider n as 9, now 189 x 9 = 1701, which is slightly above 1700, so we choose n = 8. Thus, 188 x 8 = 1504.</p>
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<p><strong>Step 6:</strong>Subtract 1504 from 1700, the difference is 196, and the quotient is 98.</p>
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<p><strong>Step 6:</strong>Subtract 1504 from 1700, the difference is 196, and the quotient is 98.</p>
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<p><strong>Step 7:</strong>Since the dividend is less than the divisor, we need to add a<a>decimal</a>point. Adding the decimal point allows us to add two zeroes to the dividend. Now the new dividend is 19600.</p>
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<p><strong>Step 7:</strong>Since the dividend is less than the divisor, we need to add a<a>decimal</a>point. Adding the decimal point allows us to add two zeroes to the dividend. Now the new dividend is 19600.</p>
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<p><strong>Step 8:</strong>Now we need to find the new divisor that is 198 because 1980 ✖ 9 = 17820.</p>
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<p><strong>Step 8:</strong>Now we need to find the new divisor that is 198 because 1980 ✖ 9 = 17820.</p>
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<p><strong>Step 9:</strong>Subtracting 17820 from 19600, we get the result 1780.</p>
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<p><strong>Step 9:</strong>Subtracting 17820 from 19600, we get the result 1780.</p>
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<p><strong>Step 10:</strong>The quotient is now 98.9.</p>
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<p><strong>Step 10:</strong>The quotient is now 98.9.</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 is no decimal value, 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 is no decimal value, continue till the remainder is zero.</p>
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<p>So the square root of √9800 is approximately 98.99.</p>
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<p>So the square root of √9800 is approximately 98.99.</p>
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