27.26. Provide an example of positive irrational numbers $a$ and $b$ such that the number $a^{b}$ is an integer.

## 27.6. Some Notable Limits
27.26. Let $a=\sqrt{2}$ and $b=\log _{\sqrt{2}} 3$. The numbers $a$ and $b$ are irrational (problems 6.16 and 27.25). In this case, $a^{b}=(\sqrt{2})^{\log _{\sqrt{2}} 3}=3$.