Exercise 25 Page 248

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(8)* 2sqrt(7)= 3* 2sqrt(8*7) Then we can simplify the expression by rewriting the number under the square root as the product of at least one perfect square factor.

3* 2sqrt(8*7)

SplitIntoFactors

Split into factors

3* 2sqrt(4* 2* 7)

Multiply

Multiply

6sqrt(4* 14)

SqrtProd

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

6sqrt(4)* sqrt(14)

CalcRoot

Calculate root

6(2)sqrt(14)

Multiply

Multiply

12sqrt(14)