1. It’s a Dog’s World! Multiplying and Dividing Square Roots

2. GA Standard: M8N1g Simplify, add, subtract, multiply, and divide expressions containing square roots.

3. Let’s talk about dogs…. Outside Dogs VS Inside Dogs

4. Meet “Coefficient” She’s an Outside Dog!!

5. Meet “Radicand” He’s an Inside Dog!!

7. Keep the Outside Dogs outside! Keep the Inside Dogs inside!
&
Keep the Inside Dogs inside!
Coefficient Radicand

8. * Multiply the Coefficients Multiply the Radicands Simplify
Multiplying Radicals *
Multiply the Coefficients
Multiply the Radicands
Simplify

9. Multiply and then simplify

11. Dividing Radicals Divide the Coefficients
Divide the Radicands (if possible)
Rationalize the denominator (NO radicals in denominator)
Simplify

13. NO radicals in the denominator
6 cannot be divided by 7
but
NO radicals in the denominator
So we rationalize! How? Multiply the fraction by something that will eliminate the radical in the denominator.
42 cannot be simplified, so we are finished.

14. Remember:
NO radicals in the denominator !
You MUST rationalize! How? Multiply the fraction by something that will eliminate the radical in the denominator.
How about 1??

15. NO radicals in the denominator !
Remember:
NO radicals in the denominator !
You MUST rationalize! How? Multiply the fraction by something that will eliminate the radical in the denominator.
How about 1??
Then Simplify!!!
Reduce the fraction.

16. Simplify = = = =

17. Simplify
= X
= Y3
= P2X3Y
= 2X2Y
= 5C4D5

18. Have you learned how to multiply and divide expressions containing square roots?

19. Keep the Outside Dogs outside! Keep the Inside Dogs inside!
&
Keep the Inside Dogs inside!
Coefficient Radicand

20. Don’t even think about mixing coefficients and radicands!!!