Find the square roots of the following numbers by the division method.

49.5616

Square root of 49.5616 = 7.04

(1): To find the square root of a decimal number we put bars on the integral part(i.e.,49) of the number in the usual manner. And place

bars on the decimal part (i.e.,5616) on every pair of digits beginning with the first decimal place. .

(2): Find the largest number whose square is ≤ the number under the extreme left bar (7² <49< 8²). Take this number as the divisor and the quotient with number under extreme left bar as the dividend. Divide and get the remainder.

(3): The remainder is 0. Write the number under the next bar(i.e.,56) to the right of this remainder to get, 56

(4): Double the divisor and place this digit at ten’s place of new divisor (7+7 in this case).

(5): We know that 140 × 0 = 0, ∴ the new digit is 0.

Divide and get the remainder.

(6): The remainder is 56. Write the number under the next bar(i.e.,16) to the right of this remainder to get, 5616

(7): Double the divisor and place this digit at ten’s place of new divisor (140+0in this case).

(8): We know that 1404 × 4 = 5616, ∴ the new digit is 4.

Divide and get the remainder.

(9): Since the remainder is 0 and no bar is left,

∴ = 7.04