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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 find the closest perfect square number for the given number. Let us 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 find the closest perfect square number for the given number. Let us 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, group the numbers from right to left. In the case of 273, we group it as 73 and 2.</p>
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<p><strong>Step 1:</strong>To begin with, group the numbers from right to left. In the case of 273, we group it as 73 and 2.</p>
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<p><strong>Step 2:</strong>Now, find a number n whose square is<a>less than</a>or equal to 2. We can say n is ‘1’ because 1 x 1 is less than or equal to 2. The<a>quotient</a>is 1, and after subtracting 1 from 2, the<a>remainder</a>is 1.</p>
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<p><strong>Step 2:</strong>Now, find a number n whose square is<a>less than</a>or equal to 2. We can say n is ‘1’ because 1 x 1 is less than or equal to 2. The<a>quotient</a>is 1, and after subtracting 1 from 2, the<a>remainder</a>is 1.</p>
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<p><strong>Step 3:</strong>Bring down 73, making the new<a>dividend</a>173. Add the previous<a>divisor</a>with the same number: 1 + 1 = 2, which will be our new divisor.</p>
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<p><strong>Step 3:</strong>Bring down 73, making the new<a>dividend</a>173. Add the previous<a>divisor</a>with the same number: 1 + 1 = 2, which will be our new divisor.</p>
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<p><strong>Step 4:</strong>The new divisor is now 2n. We need to find the value of n such that 2n x n ≤ 173. Let us consider n as 6, now 26 x 6 = 156.</p>
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<p><strong>Step 4:</strong>The new divisor is now 2n. We need to find the value of n such that 2n x n ≤ 173. Let us consider n as 6, now 26 x 6 = 156.</p>
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<p><strong>Step 5:</strong>Subtract 156 from 173; the difference is 17, and the quotient is 16.</p>
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<p><strong>Step 5:</strong>Subtract 156 from 173; the difference is 17, and the quotient is 16.</p>
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<p><strong>Step 6:</strong>Since the dividend is less than the divisor, we add a decimal point and two zeroes to the remainder. The new dividend is 1700.</p>
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<p><strong>Step 6:</strong>Since the dividend is less than the divisor, we add a decimal point and two zeroes to the remainder. The new dividend is 1700.</p>
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<p><strong>Step 7:</strong>Find a new divisor. The new divisor is 326, and we find n as 5 because 326 x 5 = 1630.</p>
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<p><strong>Step 7:</strong>Find a new divisor. The new divisor is 326, and we find n as 5 because 326 x 5 = 1630.</p>
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<p><strong>Step 8:</strong>Subtract 1630 from 1700, we get the result 70.</p>
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<p><strong>Step 8:</strong>Subtract 1630 from 1700, we get the result 70.</p>
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<p><strong>Step 9:</strong>The quotient is now 16.5.</p>
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<p><strong>Step 9:</strong>The quotient is now 16.5.</p>
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<p><strong>Step 10:</strong>Continue doing these steps until you get two decimal places. If there are no decimal values, continue until the remainder is zero.</p>
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<p><strong>Step 10:</strong>Continue doing these steps until you get two decimal places. If there are no decimal values, continue until the remainder is zero.</p>
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<p>So, the square root of √273 ≈ 16.52.</p>
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<p>So, the square root of √273 ≈ 16.52.</p>
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