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 6076, we need to group it as 76 and 60.</p>
2
<p><strong>Step 1:</strong>To begin with, we need to group the numbers from right to left. In the case of 6076, we need to group it as 76 and 60.</p>
3
<p><strong>Step 2:</strong>Now we need to find n whose square is<a>less than</a>or equal to 60. We can say n as '7' because 7 x 7 = 49, which is less than 60. Now the<a>quotient</a>is 7, and after subtracting 49 from 60, the<a>remainder</a>is 11.</p>
3
<p><strong>Step 2:</strong>Now we need to find n whose square is<a>less than</a>or equal to 60. We can say n as '7' because 7 x 7 = 49, which is less than 60. Now the<a>quotient</a>is 7, and after subtracting 49 from 60, the<a>remainder</a>is 11.</p>
4
<p><strong>Step 3:</strong>Now let us bring down 76, which is the new<a>dividend</a>. Add the old<a>divisor</a>with the same number 7 + 7 to get 14, which will be our new divisor.</p>
4
<p><strong>Step 3:</strong>Now let us bring down 76, which is the new<a>dividend</a>. Add the old<a>divisor</a>with the same number 7 + 7 to get 14, which will be our new divisor.</p>
5
<p><strong>Step 4:</strong>The new divisor will be 14n, where we need to find the value of n such that 14n x n is less than or equal to 1176.</p>
5
<p><strong>Step 4:</strong>The new divisor will be 14n, where we need to find the value of n such that 14n x n is less than or equal to 1176.</p>
6
<p><strong>Step 5:</strong>Let us consider n as 8. Now 148 x 8 = 1184, which is greater than 1176. Trying n as 7, 147 x 7 = 1029, which is less than 1176.</p>
6
<p><strong>Step 5:</strong>Let us consider n as 8. Now 148 x 8 = 1184, which is greater than 1176. Trying n as 7, 147 x 7 = 1029, which is less than 1176.</p>
7
<p><strong>Step 6:</strong>Subtract 1029 from 1176, the difference is 147, and the quotient is 77.</p>
7
<p><strong>Step 6:</strong>Subtract 1029 from 1176, the difference is 147, and the quotient is 77.</p>
8
<p><strong>Step 7:</strong>Since the dividend is less than the new divisor, we need to add a decimal point. Adding the decimal point allows us to append two zeroes to the dividend. The new dividend is 14700.</p>
8
<p><strong>Step 7:</strong>Since the dividend is less than the new divisor, we need to add a decimal point. Adding the decimal point allows us to append two zeroes to the dividend. The new dividend is 14700.</p>
9
<p><strong>Step 8:</strong>Now we need to find the new divisor by doubling the previous quotient, 154, and find n such that 1540n x n ≤ 14700. The number n is found to be 9 as 1549 x 9 = 13941.</p>
9
<p><strong>Step 8:</strong>Now we need to find the new divisor by doubling the previous quotient, 154, and find n such that 1540n x n ≤ 14700. The number n is found to be 9 as 1549 x 9 = 13941.</p>
10
<p><strong>Step 9:</strong>Subtracting 13941 from 14700, we get the result 759.</p>
10
<p><strong>Step 9:</strong>Subtracting 13941 from 14700, we get the result 759.</p>
11
<p><strong>Step 10:</strong>Now the quotient is 77.9.</p>
11
<p><strong>Step 10:</strong>Now the quotient is 77.9.</p>
12
<p><strong>Step 11:</strong>Continue doing these steps until we get the desired number of decimal places. So the square root of √6076 is approximately 77.972.</p>
12
<p><strong>Step 11:</strong>Continue doing these steps until we get the desired number of decimal places. So the square root of √6076 is approximately 77.972.</p>
13
13