Question 7312
Try this:

{{{(x^2+4)^(2/3) = 25}}} Raise both sides to the 3/2 power.


{{{(x^2+4) = 25^(3/2)}}}

{{{x^2+4 = 125}}}  Subtract 4 from both sides.

{{{x^2 = 121}}} Take the square root of both sides.

{{{x = 11}}} or {{{x = -11}}}

Check:

{{{(11^2 + 4)^(2/3) = 125^(2/3)}}}

{{{125^(2/3) = 25}}}