## Algebra 1

1. a) given: a=18, b=10 $\sqrt a \times \sqrt b$ = $\sqrt 18\times\sqrt 10$ += $\sqrt (18\times10)$ = $\sqrt 180$ = $5\sqrt 6$ 2. b) Since $\sqrt 180$ = $5\sqrt 6$, what we need are two numbers that when multiplied together equal 180, such as a=2 and b=90. $\sqrt 2\times\sqrt 90$ = $\sqrt 180$= $5\sqrt 6$