SATHEE: Quantitative Aptitude Ques 1394

Quantitative Aptitude Ques 1394

Question: The value of $ \sqrt{2\sqrt[3]{4\sqrt{2\sqrt[3]{4}}}}… $

Options:

A) $ 2 $

B) $ 2^{2} $

C) $ 2^{3} $

D) $ 2^{5} $

Show Answer

Answer:

Correct Answer: A

Solution:

$ x=\sqrt{2\sqrt[3]{4\sqrt{2\sqrt[3]{4}}}} $ On squaring both side, $ x^{2}=2\cdot \sqrt[3]{4x} $ Now, cubing both side $ (x^{2})=8\times 4x $

$ \Rightarrow $ $ x^{5}=32 $
$ \Rightarrow $ $ x^{5}={{(2)}^{5}} $

$ \Rightarrow $ $ x=2 $

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Quantitative Aptitude Ques 1394

Question: The value of $ \sqrt{2\sqrt[3]{4\sqrt{2\sqrt[3]{4}}}}… $

Options:

Answer:

Solution:

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