Using numbers 5,8 and 24 create a problem using no more than four operations(additions, multiplication, division, square, square root, cube, cube root) where the solution will be an irrational number. Explain why the result of your operations is an irrational number.

Answer 1

since none of those numbers is a perfect square,
√ of any of them will be irrational.
5+8+√24 is irrational.