?
The value of $$\sqrt {2\root 3 \of {4\sqrt {2\root 3 \of 4 } } } ......$$ is?
Answer & Solution
Correct Answer:
Option
A
$$\eqalign{
& x = \sqrt {2\root 3 \of {4\sqrt {2\root 3 \of 4 } } } ...... \cr
& {\text{Squaring both side}} \cr
& \Rightarrow {x^2} = 2\root 3 \of {4\sqrt {2\root 3 \of 4 } } ...... \cr
& {\text{Now cubing both sides}} \cr
& \Rightarrow {x^6} = 8 \times 4x \cr
& \Rightarrow {x^5} = 32 \cr
& \Rightarrow {x^5} = {2^5} \cr
& \Rightarrow x = 2 \cr} $$
Join the Discussion
Login to post a comment or share your explanation.
Login