Construct arguments Diego says that if you cube the number 4 and then take the cube root of the result, you end up with 8. is Diego correct? Explain.

No, Diego is not correct.

First, cubing the number 4 results in 64 (4^3 = 64). Taking the cube root of 64 yields 4, not 8. This is because the cube root is the inverse operation of cubing a number, so the cube root of a cubed number will always result in the original number. In this case, the original number is 4, not 8.