Square Root of 1250
2026-02-28 08:07 Diff
https://brightchamps.com/en-us/math/algebra/square-root-of-1250

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 1250, we need to group it as 50 and 12.

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

Step 3: Now let us bring down 50, which is the new dividend. Add the old divisor with the same number 3 + 3 = 6, which will be our new divisor.

Step 4: The new divisor will be 6n. We need to find a value for n such that 6n x n ≤ 350. Let n be 5, now 65 x 5 = 325.

Step 5: Subtract 325 from 350; the difference is 25, and the quotient is 35.

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 2500.

Step 7: Now we need to find the new divisor, which is 705 because 705 x 3 = 2115.

Step 8: Subtracting 2115 from 2500, we get the result 385.

Step 9: 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 √1250 is approximately 35.36.