### Instruction: When the square root of $x$ is cubed, the answer is 64. What is the value of $x$?### Response: I need to find a number $x$ such that $(\sqrt{x})^3 = 64$.
One way to approach this problem is to undo the cube operation by taking the cube root of both sides.
The cube root of 64 is 4, so I get $\sqrt{x} = 4$.
Now I need to undo the square root operation by squaring both sides.
I get $x = 4^2 = 16$.
To check my answer, I can plug it back into the original equation and see if it works.
I get $(\sqrt{16})^3 = 4^3 = 64$, which is true.