Square Root of 8800
2026-02-28 01:39 Diff
https://brightchamps.com/en-us/math/algebra/square-root-of-8800

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 8800, we need to group it as 88 and 00.

Step 2: Now, we need to find n whose square is ≤ 88. We can say n is ‘9’ because 9 x 9 = 81, which is less than 88. The quotient is 9, and after subtracting, the remainder is 7.

Step 3: Now, let us bring down 00, which is the new dividend. Add the old divisor with the same number 9 + 9 to get 18, which will be our new divisor.

Step 4: We need to find n such that 18n × n ≤ 700. Let us consider n as 3, so 183 x 3 = 549.

Step 5: Subtract 549 from 700, and the difference is 151. The quotient is now 93.

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 zeroes to the dividend. Now the new dividend is 15100.

Step 7: Now, we need to find the new divisor, which is 938, because 938 x 8 = 15008.

Step 8: Subtracting 15008 from 15100 gives us the result 92.

Step 9: Now the quotient is 93.8.

Step 10: Continue doing these steps until we get two numbers after the decimal point. If there are no decimal values, continue until the remainder is zero.

So the square root of √8800 ≈ 93.80