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sqrt(6+sqrt(6+sqrt(6+…oo))) is equal to ...

`sqrt(6+sqrt(6+sqrt(6+…oo)))` is equal to ______.

A

`-3`

B

`3`

C

`6`

D

`2`

Text Solution

Verified by Experts

The correct Answer is:
B
(i) Say, the given expression is `gamma` and square on both side
(ii) Let `gamma=sqrt(6sqrt(6sqrt(6+…oo)))`
(iii) `gamma^(2)=6+sqrt(6+sqrt(6+…oo))implies gamma^(2)=6+gamma`
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