Respuesta :

Let's try some integer values of x to see what volumes we get

  • If x = 0, then x^3 = 0^3 = 0*0*0 = 0
  • If x = 1, then x^3 = 1^3 = 1*1*1 = 1
  • If x = 2, then x^3 = 2^3 = 2*2*2 = 8
  • If x = 3, then x^3 = 3^3 = 3*3*3 = 27

We do not get 15 as a result in that list above. So there are no integer solutions to x^3 = 15

In other words, the value [tex]\sqrt[3]{15}[/tex] is not an integer.