We may find the square root of a decimal number without converting into a rational number. We do it as follows:
Step 1: Place bars on the integral part of the number in the usual manner.
Step 2: Place bar on the decimal part on every pair of digits beginning with the first decimal place.
Step 3: Start finding the square root by the division process as usual.
Step 4: Place decimal point in the quotient as soon as the integral part is exhausted.
Step 5: Stop when the remainder becomes zero. The quotient at this stage is the square root.