The square root of the expression (12.1)^2-(8.1)^2/(0.25)^2 + (0.25)(19.95) is

Question

The square root of the expression \(\frac{(12.1)^2-(8.10^2}{(0.25)^2+(0.25)(19.95)}\) is

(a) 1

(b) 2

(c) 3

(d) 4

Answer 1

Correct option is (D) 4

\(\frac{(12.1)^2 - (8.1)^2}{(0.25)^2 + (0.25)(19.95)}\)

\(= \frac{(12.1 + 8.1)(12.1 - 8.1)}{(25)(25) + (25)(19.95)}\)

\(= \frac{(20.2)(4)}{25(25 + 19.95)}\)

\(= \frac{80.8}{5.05}\)

\(= 16\)

⇒ \(\sqrt {16 } = 4\)

Answer 2

The answer is: (d) 4