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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 773, we need to group it as 73 and 7.</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 773, we need to group it as 73 and 7.</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 7. We can say n as ‘2’ because 2 x 2 is 4, which is less than 7. Now the<a>quotient</a>is 2, and after subtracting 4 from 7, the<a>remainder</a>is 3.</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 7. We can say n as ‘2’ because 2 x 2 is 4, which is less than 7. Now the<a>quotient</a>is 2, and after subtracting 4 from 7, the<a>remainder</a>is 3.</p>
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<p><strong>Step 3:</strong>Now let us bring down 73, which is the new<a>dividend</a>. Add the old<a>divisor</a>'s double to itself, 2 x 2 = 4, which will be our new divisor.</p>
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<p><strong>Step 3:</strong>Now let us bring down 73, which is the new<a>dividend</a>. Add the old<a>divisor</a>'s double to itself, 2 x 2 = 4, which will be our new divisor.</p>
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<p><strong>Step 4:</strong>The new divisor becomes 4n. We need to find the value of n.</p>
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<p><strong>Step 4:</strong>The new divisor becomes 4n. We need to find the value of n.</p>
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<p><strong>Step 5:</strong>The next step is finding 4n × n ≤ 373. Let us consider n as 7, now 47 x 7 = 329.</p>
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<p><strong>Step 5:</strong>The next step is finding 4n × n ≤ 373. Let us consider n as 7, now 47 x 7 = 329.</p>
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<p><strong>Step 6:</strong>Subtract 329 from 373; the difference is 44, and the quotient is 27.</p>
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<p><strong>Step 6:</strong>Subtract 329 from 373; the difference is 44, and the quotient is 27.</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 zeros to the dividend. Now the new dividend is 4400.</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 zeros to the dividend. Now the new dividend is 4400.</p>
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<p><strong>Step 8:</strong>Now we need to find the new divisor, which is 8 because 548 x 8 = 4384.</p>
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<p><strong>Step 8:</strong>Now we need to find the new divisor, which is 8 because 548 x 8 = 4384.</p>
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<p><strong>Step 9:</strong>Subtracting 4384 from 4400, we get the result 16.</p>
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<p><strong>Step 9:</strong>Subtracting 4384 from 4400, we get the result 16.</p>
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<p><strong>Step 10:</strong>Now the quotient is 27.8.</p>
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<p><strong>Step 10:</strong>Now the quotient is 27.8.</p>
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<p><strong>Step 11:</strong>Continue doing these steps until we get two numbers after the decimal point. Suppose if 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 if there is no decimal value, continue till the remainder is zero.</p>
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<p>So the square root of √773 ≈ 27.8.</p>
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<p>So the square root of √773 ≈ 27.8.</p>
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