Question

The exponential form of $\sqrt{\sqrt{2}\times \sqrt{3}}$ is

• A. $6^{-\frac{1}{2}}$
• B. $6^{\frac{1}{2}}$
• C. $6^{\frac{1}{4}}$
• D. $6$

Answer 1

The correct option is C

$6^{\frac{1}{4}}$

$\sqrt{\sqrt{2}\times \sqrt{3}}={\left(6^{\frac{1}{2}}\right)}^{\frac{1}{2}}=6^{\frac{1}{4}}$