0 added
0 removed
Original
2026-01-01
Modified
2026-02-28
1
<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>
1
<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>
2
<p><strong>Step 1:</strong>To begin with, we need to group the numbers from right to left. In the case of 855, we need to group it as 55 and 8.</p>
2
<p><strong>Step 1:</strong>To begin with, we need to group the numbers from right to left. In the case of 855, we need to group it as 55 and 8.</p>
3
<p><strong>Step 2:</strong>Now we need to find n whose square is<a>less than</a>or equal to 8. We can say n as ‘2’ because 2² = 4, which is less than 8. Now the<a>quotient</a>is 2, and after subtracting 4 from 8, the<a>remainder</a>is 4.</p>
3
<p><strong>Step 2:</strong>Now we need to find n whose square is<a>less than</a>or equal to 8. We can say n as ‘2’ because 2² = 4, which is less than 8. Now the<a>quotient</a>is 2, and after subtracting 4 from 8, the<a>remainder</a>is 4.</p>
4
<p><strong>Step 3:</strong>Now let us bring down 55, which is the new<a>dividend</a>. Add the old<a>divisor</a>with the same number 2 + 2 = 4, which will be our new divisor.</p>
4
<p><strong>Step 3:</strong>Now let us bring down 55, which is the new<a>dividend</a>. Add the old<a>divisor</a>with the same number 2 + 2 = 4, which will be our new divisor.</p>
5
<p><strong>Step 4:</strong>The new divisor will be the sum of the dividend and quotient. Now we get 4n as the new divisor, we need to find the value of n.</p>
5
<p><strong>Step 4:</strong>The new divisor will be the sum of the dividend and quotient. Now we get 4n as the new divisor, we need to find the value of n.</p>
6
<p><strong>Step 5:</strong>The next step is finding 4n × n ≤ 455. Let's consider n as 9, now 49 x 9 = 441.</p>
6
<p><strong>Step 5:</strong>The next step is finding 4n × n ≤ 455. Let's consider n as 9, now 49 x 9 = 441.</p>
7
<p><strong>Step 6:</strong>Subtract 441 from 455, the difference is 14, and the quotient is 29.</p>
7
<p><strong>Step 6:</strong>Subtract 441 from 455, the difference is 14, and the quotient is 29.</p>
8
<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 1400.</p>
8
<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 1400.</p>
9
<p><strong>Step 8:</strong>Now we need to find the new divisor, which is 292 because 292 × 2 = 1168.</p>
9
<p><strong>Step 8:</strong>Now we need to find the new divisor, which is 292 because 292 × 2 = 1168.</p>
10
<p><strong>Step 9:</strong>Subtracting 1168 from 1400, we get the result 232.</p>
10
<p><strong>Step 9:</strong>Subtracting 1168 from 1400, we get the result 232.</p>
11
<p><strong>Step 10:</strong>Now the quotient is 29.2.</p>
11
<p><strong>Step 10:</strong>Now the quotient is 29.2.</p>
12
<p><strong>Step 11:</strong>Continue doing these steps until we get two numbers after the decimal point. Suppose if there are no decimal values, continue till the remainder is zero.</p>
12
<p><strong>Step 11:</strong>Continue doing these steps until we get two numbers after the decimal point. Suppose if there are no decimal values, continue till the remainder is zero.</p>
13
<p>So the square root of √855 is approximately 29.24.</p>
13
<p>So the square root of √855 is approximately 29.24.</p>
14
14