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`sqrt(2root(3)(4sqrt(2root(3)(4.....).................)))` का मान क्‍या है?A. 2B. `2^(2)`C. `2^(3)`D. `2^(5)`

Answer» Correct Answer - A
`x=sqrt(2root(3)(4sqrt(2root(3)(4))))………..`
`implies` Squaring both sides
`impliesx^(2)=2root(3)(4sqrt(2root(3)(4)))…….`
Now cubing both sides
`x^(6)=8xx4x`
`impliesx^(5)=32`
`impliesx^(5)=2^(5)`
`impliesx^(5)=2^(5)`
`impliesx=2`


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