simplify the expression ^3√64 + (^2√2^2+5)

To simplify the expression, we first compute the values inside the square roots:

^2√2^2 = √4 = 2

Now, we can simplify further:

^3√64 + (^2√2^2 + 5) = ^3√64 + (2 + 5) = ^3√64 + 7

Since ^3√64 = 4 (because 4^3 = 64), we have:

^3√64 + 7 = 4 + 7 = 11

Therefore, the simplified expression is 11.