Question

ii) If a=2^(1/3)+4^(1/3) .Prove that a^(3)-6a=6 .​

Answer 1

Answer:

correct answer is -4.

Explanation:

a=2^(1/3)+4^(1/3)

a=2^(1/3)+2^{2×(1/3)}

a=2^(1/3)+2^(2/3)

a=2^(3/3)

a=2

So, a=2 now, put in equation.

a^3-6a=6

L.H.S.

=a^3-6a

=2^3-6(2)

=8-12

=-4

-4 is not equal to 6.