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(4)/(9^((1)/(3))-3^((1)/(3))+1) is equiv...

`(4)/(9^((1)/(3))-3^((1)/(3))+1)` is equivalent to :

A

`3^((1)/(3))-1`

B

`3^((1)/(3))+1`

C

`9^((1)/(3))+1`

D

`9^((1)/(3))-1`

Text Solution

Verified by Experts

The correct Answer is:
B
`(4)/(9^((1)/(3))-3^((1)/(3))+1) = (4(3^((1)/(3))+1))/((27)^((1)/(3))-9^((1)/(3))+3^((1)/(3))+9^((1)/(3))-3^((1)/(3))+1)`
`= (4(3^((1)/(3))+1))/(4)= 3^((1)/(3))+1`
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