Square Root of 925
2026-02-28 17:26 Diff
https://brightchamps.com/en-us/math/algebra/square-root-of-925

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 925, we need to group it as 25 and 9.

Step 2: Now we need to find n whose square is 9. We can say n as ‘3’ because 3 x 3 is equal to 9. Now the quotient is 3, and after subtracting 9 from 9, the remainder is 0.

Step 3: Now let us bring down 25 which is the new dividend. Add the old divisor with the same number 3 + 3, we get 6 which will be our new divisor.

Step 4: The new divisor will be the sum of the dividend and quotient. Now we get 6n as the new divisor, we need to find the value of n.

Step 5: The next step is finding 6n x n ≤ 25, let us consider n as 4, now 6 x 4 = 24.

Step 6: Subtract 25 from 24, the difference is 1, and the quotient is 34.

Step 7: 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 100.

Step 8: Now we need to find the new divisor that is 68 because 684 x 1 = 684.

Step 9: Subtracting 684 from 1000, we get the result 316.

Step 10: Now the quotient is 30.4

Step 11: Continue doing these steps until we get two numbers after the decimal point.

Suppose if there is no decimal value, continue till the remainder is zero. So the square root of √925 is approximately 30.41.