Simplifying simple radicals $\sqrt{\frac{1}{a}}$ I'm having a problems simplifying this apparently simple radical:
 $\sqrt{\frac{1}{a}}$
The book I'm working through gives the answer as:  $\frac{1}{a}\sqrt{a}$
Could someone break down the steps used to get there?  I've managed to answer all the other questions in this chapter right, but my brain refuses to lock onto this one and I'm feeling really dense.

What do you get if you square both expressions and then simplify?
