If x^( 2) + (1)/( 25 x ^(2)) = (8)/( 5...

If ` x^( 2) + (1)/( 25 x ^(2)) = (8)/( 5) and x gt 0 ` then what is the value of ` ( x^(3) + (1)/( 125 x^(3))) ` ?

A

`7 sqrt2`

B

`5 sqrt2`

C

`(7 sqrt2)//5`

D

`7 sqrt6`

Verified by Experts

The correct Answer is:

C

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