Square Root of 915
2026-02-28 15:50 Diff
https://brightchamps.com/en-us/math/algebra/square-root-of-915

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 915, we group it as 15 and 9.

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

Step 3: Now let us bring down 15, 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 is 60, and we need to find the value of n such that 60n × n ≤ 1500. Let us consider n as 2, now 60 x 2 x 2 = 240.

Step 5: Subtract 240 from 1500; the difference is 1260.

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 126000.

Step 7: Now we need to find the new divisor, which is 609 because 609 x 2 = 1218.

Step 8: Subtracting 1218 from 1260, we get the result 42.

Step 9: The quotient is now 30.2.

Step 10: Continue doing these steps until we get the desired decimal places or until the remainder reaches zero.

So the square root of √915 is approximately 30.249.