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Original
2026-01-01
Modified
2026-02-28
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<p>The<a>long division</a>method is used for non-perfect square numbers. In this method, we find 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 used for non-perfect square numbers. In this method, we find 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 2625, we need to group it as 25 and 26.</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 2625, we need to group it as 25 and 26.</p>
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<p><strong>Step 2:</strong>Now, we need to find a number whose square is<a>less than</a>or equal to 26. We can say it is '5' because 5^2 = 25, which is less than or equal to 26. The<a>quotient</a>is 5, and after subtracting, 26 - 25, the<a>remainder</a>is 1.</p>
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<p><strong>Step 2:</strong>Now, we need to find a number whose square is<a>less than</a>or equal to 26. We can say it is '5' because 5^2 = 25, which is less than or equal to 26. The<a>quotient</a>is 5, and after subtracting, 26 - 25, the<a>remainder</a>is 1.</p>
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<p><strong>Step 3:</strong>Bring down the next pair of digits (25), making the new<a>dividend</a>125. Add the previous<a>divisor</a>(5) to itself to make the new divisor 10.</p>
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<p><strong>Step 3:</strong>Bring down the next pair of digits (25), making the new<a>dividend</a>125. Add the previous<a>divisor</a>(5) to itself to make the new divisor 10.</p>
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<p><strong>Step 4:</strong>Now, we need to find a digit that, when added to 10 and multiplied by the same digit, the product is less than or equal to 125. Let's choose 1. So, 101 x 1 = 101.</p>
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<p><strong>Step 4:</strong>Now, we need to find a digit that, when added to 10 and multiplied by the same digit, the product is less than or equal to 125. Let's choose 1. So, 101 x 1 = 101.</p>
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<p><strong>Step 5:</strong>Subtract 101 from 125, the difference is 24, and the quotient is 51.</p>
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<p><strong>Step 5:</strong>Subtract 101 from 125, the difference is 24, and the quotient is 51.</p>
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<p><strong>Step 6:</strong>Since the new dividend is smaller than the new divisor, we need to add a decimal point. Adding the decimal point allows us to add two zeroes to the dividend, making it 2400.</p>
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<p><strong>Step 6:</strong>Since the new dividend is smaller than the new divisor, we need to add a decimal point. Adding the decimal point allows us to add two zeroes to the dividend, making it 2400.</p>
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<p><strong>Step 7:</strong>Find the new divisor, which is 102. Choose a digit, say 4, such that 1024 x 4 = 4096.</p>
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<p><strong>Step 7:</strong>Find the new divisor, which is 102. Choose a digit, say 4, such that 1024 x 4 = 4096.</p>
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<p><strong>Step 8:</strong>Subtract 4096 from 2400, resulting in a negative number, so we need to adjust our choice. Choose 2 instead, so 1022 x 2 = 2044.</p>
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<p><strong>Step 8:</strong>Subtract 4096 from 2400, resulting in a negative number, so we need to adjust our choice. Choose 2 instead, so 1022 x 2 = 2044.</p>
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<p><strong>Step 9:</strong>Now, the remainder is 356, and the quotient becomes 51.2.</p>
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<p><strong>Step 9:</strong>Now, the remainder is 356, and the quotient becomes 51.2.</p>
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<p><strong>Step 10:</strong>Continue these steps until we get the desired precision.</p>
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<p><strong>Step 10:</strong>Continue these steps until we get the desired precision.</p>
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<p>The square root of √2625 ≈ 51.23475.</p>
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<p>The square root of √2625 ≈ 51.23475.</p>
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