Square Root of 1245
2026-02-28 09:47 Diff
https://brightchamps.com/en-us/math/algebra/square-root-of-1245

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 1245, we need to group it as 45 and 12.

Step 2: Now we need to find n whose square is 12. We can say n as ‘3’ because 3 x 3 is lesser than or equal to 12. Now the quotient is 3, and after subtracting 9 from 12, the remainder is 3.

Step 3: Now let us bring down 45 which is the new dividend. Add the old divisor with the same number, 3 + 3, and we get 6 which will be our new divisor.

Step 4: The new divisor will be 62n. We need to find the value of n.

Step 5: The next step is finding 62n x n ≤ 345. Let us consider n as 5. Now 625 x 5 = 3125.

Step 6: Subtract 3125 from 3450. The difference is 325, and the quotient is 35.

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 32500.

Step 8: Now we need to find the new divisor that is 705 because 705 x 5 = 3525.

Step 9: Subtracting 3525 from 32500 we get the result 29275.

Step 10: Now the quotient is 35.26

Step 11: Continue doing these steps until we get two numbers after the decimal point. Suppose if there is no decimal values continue till the remainder is zero

So the square root of √1245 is approximately 35.268.