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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 9100, we need to group it as 00 and 91.</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 9100, we need to group it as 00 and 91.</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 91. We consider n as '9' because 9 x 9 = 81 is less than 91. Now the<a>quotient</a>is 9, and after subtracting 81 from 91, the<a>remainder</a>is 10.</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 91. We consider n as '9' because 9 x 9 = 81 is less than 91. Now the<a>quotient</a>is 9, and after subtracting 81 from 91, the<a>remainder</a>is 10.</p>
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<p><strong>Step 3:</strong>Now let us bring down 00 to make the new<a>dividend</a>1000. Add the old<a>divisor</a>, 9, with the same number 9 + 9, we get 18, which will be our new divisor.</p>
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<p><strong>Step 3:</strong>Now let us bring down 00 to make the new<a>dividend</a>1000. Add the old<a>divisor</a>, 9, with the same number 9 + 9, we get 18, which will be our new divisor.</p>
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<p><strong>Step 4:</strong>The new divisor will be 18n, where we need to find the value of n such that 18n x n is less than or equal to 1000.</p>
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<p><strong>Step 4:</strong>The new divisor will be 18n, where we need to find the value of n such that 18n x n is less than or equal to 1000.</p>
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<p><strong>Step 5:</strong>The next step is finding 18n x n ≤ 1000. Let us consider n as 5, then 185 x 5 = 925.</p>
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<p><strong>Step 5:</strong>The next step is finding 18n x n ≤ 1000. Let us consider n as 5, then 185 x 5 = 925.</p>
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<p><strong>Step 6:</strong>Subtract 925 from 1000, the difference is 75, and the quotient is 95.</p>
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<p><strong>Step 6:</strong>Subtract 925 from 1000, the difference is 75, and the quotient is 95.</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 7500.</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 7500.</p>
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<p><strong>Step 8:</strong>Now we need to find the new divisor, which is 953, because 953 x 8 = 7624.</p>
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<p><strong>Step 8:</strong>Now we need to find the new divisor, which is 953, because 953 x 8 = 7624.</p>
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<p><strong>Step 9:</strong>Subtracting 7624 from 7500 gives us a negative remainder, so we adjust n to 7 and get 952 x 7 = 6664.</p>
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<p><strong>Step 9:</strong>Subtracting 7624 from 7500 gives us a negative remainder, so we adjust n to 7 and get 952 x 7 = 6664.</p>
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<p><strong>Step 10:</strong>Subtracting 6664 from 7500, we get the remainder 836.</p>
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<p><strong>Step 10:</strong>Subtracting 6664 from 7500, we get the remainder 836.</p>
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<p><strong>Step 11:</strong>Continue these steps until we get two numbers after the decimal point.</p>
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<p><strong>Step 11:</strong>Continue these steps until we get two numbers after the decimal point.</p>
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<p>So, the square root of √9100 is approximately 95.39.</p>
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<p>So, the square root of √9100 is approximately 95.39.</p>
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