If $$x = \root 3 \of {a + \sqrt {{a^2} + {b^3}} } $$ + $$\root 3 \of {a - \sqrt {{a^2} + {b^3}} } $$ then $${x^3} + 3bx$$ is equal to? Options: A . &nbsp0 B . &nbspa C . &nbsp2a D . &nbsp1

If $$x = \root 3 \of {a + \sqrt {{a^2} + {b^3}} } $$ + $$\root 3 \of {a -

Question

If $$x = \root 3 \of {a + \sqrt {{a^2} + {b^3}} } $$ + $$\root 3 \of {a - \sqrt {{a^2} + {b^3}} } $$ then $${x^3} + 3bx$$ is equal to?

Options:

A . 0

B . a

C . 2a

D . 1

Answer: Option C

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