Answer
a=2, b=90
Work Step by Step
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.
$\sqrt 2\times\sqrt 90$ = $\sqrt 180$= $5\sqrt 6$