Question

The value of $\sqrt{\sqrt[a]{a{4}^{a^{a^2}}\sqrt{6^{a^3}\sqrt[a^3]{a^3{12}^{a^6}\sqrt[a^4]{a^4{18}^{a^{10}}}}}}}$ is equal to

• A. $\sqrt{216}$
• B. $\sqrt{72}$
• C. $72$
• D. $216$

Answer 1

The correct option is C $72$

$\begin{array}{c}=\sqrt{\sqrt[a]{a{4}^{a^{a^2}}\sqrt{6^{a^3}\sqrt[a^3]{a^3{12}^{a^6}\sqrt[a^4]{a^4{18}^{a^{10}}}}}}}\\ =\sqrt{4\times 6\times 18\times 12}\\ =72\\ Hence,\\ optionCiscorrectanswer.\end{array}$