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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