Square Root of 11881
2026-02-28 01:11 Diff
https://brightchamps.com/en-us/math/algebra/square-root-of-11881

The long division method is helpful for both perfect and non-perfect square numbers. Here, we will find the square root using the long division method, step by step.

Step 1: To begin with, we need to group the numbers from right to left. In the case of 11881, we group it as 11, 88, and 1.

Step 2: Now we need to find n whose square is less than or equal to 11. We can say n is 3 because 3 x 3 = 9, which is less than 11. Now the quotient is 3, and after subtracting 9 from 11, the remainder is 2.

Step 3: Bring down the next pair, which is 88, making the new dividend 288. Add the old divisor with the same number, 3 + 3, to get 6, which will be part of our new divisor.

Step 4: The new divisor is 6n. We need to find n such that 6n x n is less than or equal to 288. We find n is 4 because 64 x 4 = 256, which is less than 288.

Step 5: Subtract 256 from 288; the difference is 32. The next digit in the quotient is 4.

Step 6: Bring down the next pair, which is 1, making the new dividend 321. Add the old divisor with the last digit of the quotient, 64 + 4, to get 68, which will be part of our new divisor.

Step 7: The new divisor is 68n. We need to find n such that 68n x n is less than or equal to 321. We find n is 1 because 681 x 1 = 681, which is greater than 321.

Hence, n is 0, and the process has reached a conclusion with the quotient being 109. So the square root of √11881 is 109.