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If (a+(1)/(a))^(2)= 3, then a^(3)+(1)/(a...

If `(a+(1)/(a))^(2)= 3`, then `a^(3)+(1)/(a^(3))` equals

A

`6 sqrt(3)`

B

`3 sqrt(3)`

C

`0`

D

`7 sqrt(7)`

Text Solution

Verified by Experts

The correct Answer is:
C
If `(a+(1)/(a))^(2) = 3` …………
`a^(3)+(1)/(a^(3)) = (a+(1)/(a)) ((a+(1)/(a))^(2)-3)`
`= (a+(1)/(a)) (3-3) = 0`
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