Question

If $\sqrt{\frac{125a^6{b}^4{c}^2}{5a^4{b}^2}}=x$ then what is the value of $\frac{x^2}{abc}$?

• A. $125a^2{b}^2{c}^2$
• B. $5abc$
• C. $25a^2{b}^2{c}^2$
• D. $25abc$

Answer 1

The correct option is D $25abc$

$\sqrt{\frac{125a^6{b}^4{c}^2}{5a^4{b}^2}}=x$
$\Rightarrow \sqrt{25a^2{b}^2{c}^2}=x$
$\Rightarrow x^2=25a^2{b}^2{c}^2$
$\Rightarrow \frac{x^2}{abc}=25abc$