Exercise 47 Page 623

We want to simplify a radical expression. To do so we will assume that s>0, otherwise the given expression would not be defined. 8sqrt(7s)/sqrt(28s^3) Let's recall the Multiplication Property of Square Roots. sqrt(ab)=sqrt(a) * sqrt(b), for a≥ 0,b≥ 0 Let's use these properties for our expression.

Now that we have simplified the factors as much as possible, we need to rationalize the denominator by canceling the common factors.