Square Root of 881
2026-02-28 19:05 Diff
https://brightchamps.com/en-us/math/algebra/square-root-of-881

The long division 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 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 881, we need to group it as 81 and 8.

Step 2: Now, we need to find n whose square is less than or equal to 8. We can set n as 2 because 2 × 2 = 4, which is less than 8. The quotient is 2, and after subtracting 4 from 8, the remainder is 4.

Step 3: Now, bring down 81, making the new dividend 481. Add the old divisor with the same number 2 + 2 to get 4, which will be our new divisor.

Step 4: The new divisor will be 4n. We need to find the largest n such that 4n × n ≤ 481. Let’s consider n as 9; then, 49 × 9 = 441.

Step 5: Subtract 441 from 481; the difference is 40, and the quotient is 29.

Step 6: 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 4000.

Step 7: Now, we need to find the new divisor that is 596 because 596 × 6 = 3576.

Step 8: Subtracting 3576 from 4000, we get the result 424.

Step 9: The quotient so far is 29.6. Continue doing these steps until we get two numbers after the decimal point. Suppose there are no decimal values; continue till the remainder is zero.

So the square root of √881 is approximately 29.68.