Question

x to the 3rd power = 9 : rational or irrational
x to the 3rd power = -343 :rational or irrational

Answer 1

HI!!

Answer 2

\[x^3=9\] right?

Answer 3

yep!

Answer 4

then \(x=\sqrt[3]{9}\) which is not a rational number

Answer 5

on the other hand if \(x^3=-343\) then \(x=\sqrt[3]{-343}\) which you can compute here
http://www.wolframalpha.com/input/?i=cube+root%28-343%29