Question

The square root of the expression
$\frac{(12.1{)}^2-(8.1{)}^2}{{\left(0.25\right)}^2+\left(0.25\right)\left(19.95\right)}$ is

• A. 1
• B. 2
• C. 3
• D. 4

Answer 1

The correct option is D 4

$\frac{(12.1{)}^2-(8.1{)}^2}{{\left(0.25\right)}^2+\left(0.25\right)\left(19.95\right)}$
$\frac{(12.1+8.1)(12.1-8.1)}{\left(.25\right)\left(.25\right)+\left(.25\right)\left(19.95\right)}$
$\frac{\left(20.2\right)\left(4\right)}{.25(.25+19.95)}$
$\frac{80.8}{5.05}\Rightarrow 16$
$\sqrt{16}=4$