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(root(6)(15-2sqrt(56)))*(root(3)(sqrt(7)...

`(root(6)(15-2sqrt(56)))*(root(3)(sqrt(7)+2sqrt(2)))`=_______.

A

0

B

1

C

`-1`

D

2

Text Solution

Verified by Experts

The correct Answer is:
B
(i) Use `root(6)(x)=root(3)(sqrt(x))` and simplify by finding the square root wherever necessary.
(ii) `root(6)(x)=root(3)(root(2)(x))`
(iii) `root(3)(x+y).root(3)(x-y)=root(3)((x^(2)-gamma^(2)))`
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