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Exponential form of \(\left( \sqrt{\sqrt{a} \times \sqrt{b} } \right)^2 \) is

A) ab
B) \( \left( ab \right)^{1/2} \)
C) \( \left( ab \right)^{1/4} \)
D) \( \left( ab \right)^2 \)

Correct Answer:


B) \( \left( ab \right)^{1/2} \)

Description for Correct answer:
\( \left( \sqrt{\left( \sqrt{a} \times \sqrt{b} \right) } \right)^2 \) = \( \left( \sqrt{\sqrt{a \times b}} \right)^2 \)

=\( \left[ \left[ \left( a \times b \right)^{1/2} \right]^{1/2} \right]^2 \)

=\( \left[\left( ab \right){1/4} \right]^2 \)

= \( \left( ab \right)^{1/2} \)

= \( \sqrt{ab} \)

Part of solved Number System questions and answers : >> Aptitude >> Number System

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