Exercise 67 Page 12

Remember that sqrt(a* b)=sqrt(a)*sqrt(b).

6sqrt(7)

Practice makes perfect

We will start simplifying this expression by rewriting the number under the first square root as the product of at least one perfect square factor.

sqrt(18)*sqrt(14)

Split into factors

sqrt(9* 2)*sqrt(14)

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

sqrt(9)* sqrt(2)*sqrt(14)

Calculate root

3sqrt(2)*sqrt(14)

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

3sqrt(2* 14)

Now, once again, we will simplify the expression under the square root.

3sqrt(2* 14)

Split into factors

3sqrt(2* 2* 7)

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

3sqrt(2* 2)*sqrt(7)

a* a=a^2

3sqrt(2^2)*sqrt(7)

sqrt(a^2)=a

3* 2*sqrt(7)

6sqrt(7)

Check Your Understanding p.8

Practice and Problem Solving p.8-11

H.O.T. Problems p.11

Standardized Test Practice p.12

Spiral Review p.12

Skills Review p.12

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