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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 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<a>long 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, we need to group the numbers from right to left. In the case of 901, we group it as 01 and 90.</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 901, we group it as 01 and 90.</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 90. We use n as ‘9’ because 9 x 9 = 81, which is less than 90. The<a>quotient</a>is 9, and after subtracting 90 - 81, the<a>remainder</a>is 9.</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 90. We use n as ‘9’ because 9 x 9 = 81, which is less than 90. The<a>quotient</a>is 9, and after subtracting 90 - 81, the<a>remainder</a>is 9.</p>
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<p><strong>Step 3:</strong>Now let us bring down 01, making the new<a>dividend</a>901. 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 01, making the new<a>dividend</a>901. 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 the<a>sum</a>of the old divisor and the quotient. Now we get 18n as the new divisor; we need to find the value of n.</p>
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<p><strong>Step 4:</strong>The new divisor will be the<a>sum</a>of the old divisor and the quotient. Now we get 18n as the new divisor; we need to find the value of n.</p>
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<p><strong>Step 5:</strong>The next step is finding 18n x n ≤ 901. Let's consider n as 4, now 18 x 4 x 4 = 288.</p>
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<p><strong>Step 5:</strong>The next step is finding 18n x n ≤ 901. Let's consider n as 4, now 18 x 4 x 4 = 288.</p>
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<p><strong>Step 6:</strong>Subtract 901 - 288; the difference is 613, and the quotient becomes 30.</p>
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<p><strong>Step 6:</strong>Subtract 901 - 288; the difference is 613, and the quotient becomes 30.</p>
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<p><strong>Step 7:</strong>Since the dividend is greater than the divisor, we need to add a decimal point to continue accurately. Adding the decimal point allows us to add two zeroes to the dividend. Now the new dividend is 61300.</p>
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<p><strong>Step 7:</strong>Since the dividend is greater than the divisor, we need to add a decimal point to continue accurately. Adding the decimal point allows us to add two zeroes to the dividend. Now the new dividend is 61300.</p>
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<p><strong>Step 8:</strong>Now we need to find the new divisor, which is 180 because 180 x 3 = 540.</p>
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<p><strong>Step 8:</strong>Now we need to find the new divisor, which is 180 because 180 x 3 = 540.</p>
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<p><strong>Step 9:</strong>Subtracting 540 from 613, we get the result 73.</p>
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<p><strong>Step 9:</strong>Subtracting 540 from 613, we get the result 73.</p>
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<p><strong>Step 10:</strong>Now the quotient is 30.03.</p>
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<p><strong>Step 10:</strong>Now the quotient is 30.03.</p>
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<p><strong>Step 11:</strong>Continue these steps until we get two numbers after the decimal point. If there are no decimal values, continue until the remainder is zero.</p>
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<p><strong>Step 11:</strong>Continue these steps until we get two numbers after the decimal point. If there are no decimal values, continue until the remainder is zero.</p>
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<p>So the square root of √901 is approximately 30.03.</p>
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<p>So the square root of √901 is approximately 30.03.</p>
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