Say you have equations like 3x^(7/3) + 2x^(2/5) - 6 = 0 , the degree of the equation is 7/3..

How do you solve for the roots? I know how to solve for the roots of higher degree equations like x^5, etc using rational root test but what about this? I ask because I encountered something like this in a calculus book. I made my calculator solve this and it gave me 1.1199, but I do not know if it is the only root or not.