Question

The value of $\sqrt{\left(lo{g}_{0.5}^{2}4\right)}$ is

• A. -2
• B. $\sqrt{(-4)}$
• C. 2
• D. None of these

Answer 1

The correct option is C 2

$\sqrt{\left(lo{g}_{0.5}^{2}4\right)}=\sqrt{\left\{lo{g}_{0.5}\right(0.5{)}^{-2}{\}}^2}=\sqrt{(-2{)}^2}=2$