Question : The value of exponential form of $\sqrt{\sqrt{2}\sqrt{3}}$ is:
Option 1: $6$
Option 2: $6^{\frac{1}{2}}$
Option 3: $6^{-\frac{1}{2}}$
Option 4: $6^{\frac{1}{4}}$
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Correct Answer: $6^{\frac{1}{4}}$
Solution :
Given: $\sqrt{\sqrt{2}\sqrt{3}}$
Simplifying this expression, we have,
= $\sqrt{\sqrt{6}}$
= $\left (6^{\frac{1}{2}} \right )^\frac{1}{2}$
= $6^{\frac{1}{4}}$
Hence, the correct answer is $6^{\frac{1}{4}}$.
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