## Intermediate Algebra: Connecting Concepts through Application

$\color{blue}{3tu^2\sqrt[5]{s^3}}$
Factor the radicand so that at least one factor is a perfect fifth power: $=\sqrt[5]{243t^5u^{10}(s^3)} \\=\sqrt[5]{3^5t^5(u^2)^5(s^3)}$ Bring out the fifth root of the perfect fifth power factors to obtain: $=\color{blue}{3tu^2\sqrt[5]{s^3}}$