Exercise 69 Page 624

We want to simplify a radical expression. To do so we will assume that a>0, otherwise the given expression would not be defined. 16a/sqrt(6a^3) Let's recall the Multiplication Property of Square Roots and the Division Property of Square Roots. sqrt(ab)&=sqrt(a) * sqrt(b), for a≥ 0,b≥ 0 sqrt(a/b)&=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. To do this, we will multiply the numerator and denominator by a square root that will eliminate the radical in the denominator.