## Intermediate Algebra for College Students (7th Edition)

$2\sqrt{2}$
RECALL: The quotient rule: $\dfrac{\sqrt[n]{a}}{\sqrt[n]{b}}=\sqrt[n]{\dfrac{a}{b}}$ where $\sqrt[n]{a}$ and $\sqrt[n]{b}$ are real numbers and $b\ne0$ Use the rule above to obtain: $=\sqrt{\dfrac{40}{5}} \\=\sqrt{8}$ Factor the radicand so that at least one factor is a perfect square then simplify to obtain: $=\sqrt{4(2)} \\=\sqrt{2^2(2)} \\=2\sqrt{2}$