- #1
r0bHadz
- 194
- 17
Homework Statement
Prove: if 0<a<b then a^(1/n) < b^(1/n)
Homework Equations
The Attempt at a Solution
I've already proved a^n < b^n in another problem. So I have
Assume a^n < b^n => [itex]\sqrt[n^2] a^n < \sqrt[n^2] b^n [/itex] => a^(1/n) < b^(1/n)