Exercise 15 Page 657

Remember the Multiplication Property of Square Roots.

- 15 sqrt(2) x^3

Practice makes perfect

We want to simplify a radical expression. To do so we will assume that x>0, otherwise the given expression would not be defined. - 3sqrt(5x^3) * sqrt(10x^3)Let's recall the Multiplication Property of Square Roots sqrt(ab)=sqrt(a) * sqrt(b), for a≥ 0,b≥ 0 Let's use this property for our expression.

- 3sqrt(5x^3) * sqrt(10x^3)

SplitIntoFactors

Split into factors

- 3sqrt(5* x^3) * sqrt(10* x^3)

SqrtProd

sqrt(a* b)=sqrt(a)*sqrt(b)

- 3sqrt(5) * sqrt(x^3) * sqrt(10)* sqrt(x^3)

CommutativePropMult

Commutative Property of Multiplication

- 3sqrt(5) * sqrt(10)* sqrt(x^3) * sqrt(x^3)

MultSqrt

sqrt(a)* sqrt(a)= a