Exercise 21 Page 267

We can simplify this expression by multiplying the expressions inside the radicals and multiplying the constants, separately. asqrt(b)* csqrt(d)=a* csqrt(b* d) ⇓ 3sqrt(6)( 5sqrt(2))= 3*5sqrt(6*2) Then we can simplify the expression by rewriting the expression under the square root as the product of at least one perfect square factor and using the Product Property of Radicals.

3*5sqrt(6*2)

SplitIntoFactors

Split into factors

3*5sqrt(3*2*2)

Multiply

Multiply

15sqrt(3* 2^2)

SqrtProd

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

15sqrt(3)* sqrt(2^2)

SqrtPowToNumber

sqrt(a^2)=a

15sqrt(3)*2

CommutativePropMult

Commutative Property of Multiplication

15*2sqrt(3)

Multiply

Multiply

30sqrt(3)