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

$\sqrt{15} + \sqrt{30}$
RECALL: (i) For non-negative real numbers $a$ and $b$, $\sqrt{a} \cdot \sqrt{b} = \sqrt{ab}$ (ii) For all real numbers $a, b,$ and $c$, $a(b+c) = ab+ac$ Use rule (ii) above to obtain: $=\sqrt{5} \cdot \sqrt{3} +\sqrt{5} \cdot \sqrt{6}$ Use rule (i) above to obtain: $=\sqrt{15} + \sqrt{30}$