Square Root of 244
2026-02-28 01:10 Diff
https://brightchamps.com/en-us/math/algebra/square-root-of-244

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 244, we need to group it as 44 and 2.

Step 2: Now we need to find n whose square is closest to 2. We can say n as ‘1’ because 1 x 1 is lesser than or equal to 2. Now the quotient is 1, and after subtracting 1 from 2, the remainder is 1.

Step 3: Now let us bring down 44, which is the new dividend. Add the old divisor with the same number 1 + 1 to get 2, which will be our new divisor.

Step 4: The new divisor will be 2n. We need to find the value of n such that 2n x n is closest to 144. Let us consider n as 5, now 25 x 5 = 125.

Step 5: Subtract 125 from 144, the difference is 19, and the quotient is 15.

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 1900.

Step 7: Now we need to find a new divisor. Let us find the value of n such that 310n x n is closest to 1900. We find that n is 6 because 316 x 6 = 1896.

Step 8: Subtracting 1896 from 1900, we get the result 4.

Step 9: Now the quotient is 15.6

Step 10: Continue doing these steps until we get two numbers after the decimal point. Suppose if there are no decimal values, continue until the remainder is zero.

So the square root of √244 is approximately 15.62.