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Examveda

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

A. $${{\text{6}}^{ - \frac{1}{2}}}$$

B. $${{\text{6}}^{\frac{1}{2}}}$$

C. $${{\text{6}}^{\frac{1}{4}}}$$

D. 6

Answer: Option C

Solution(By Examveda Team)

$$\eqalign{ & {\text{The exponential form of }} \cr & \sqrt {\sqrt 2 \times \sqrt 3 } \cr & = \sqrt {{6^{\frac{1}{2}}}} \cr & = {\left( {{6^{\frac{1}{2}}}} \right)^{\frac{1}{2}}} \cr & = {6^{\frac{1}{4}}} \cr} $$

This Question Belongs to Arithmetic Ability >> Surds And Indices

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