Square Root of 1244
2026-02-28 08:21 Diff
https://brightchamps.com/en-us/math/algebra/square-root-of-1244

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, group the numbers from right to left. In the case of 1244, group it as 12 and 44.

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

Step 3: Bring down 44, which is the new dividend. Add the old divisor's last digit (3) to the same number to get 6, which will be our new divisor.

Step 4: The new divisor is 6n. Find the value of n such that 6n x n ≤ 344.

Step 5: Let n be 5, now 65 x 5 = 325.

Step 6: Subtract 344 from 325; the difference is 19, and the quotient is 35.

Step 7: Since the dividend is less than the divisor, add a decimal point, allowing us to bring down two zeroes to the dividend. Now the new dividend is 1900.

Step 8: Find the new divisor, which is 702, since 702 x 2 = 1404.

Step 9: Subtracting 1404 from 1900 gives a result of 496.

Step 10: Now the quotient is 35.2.

Step 11: Continue these steps until we get the desired decimal places.

So the square root of √1244 is approximately 35.257.