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

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Presentation on theme: "It’s a Dog’s World! Multiplying and Dividing Square Roots."— Presentation transcript:

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

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

3 Meet “Coefficient” She’s an Outside Dog!!

4 Meet “Radicand” He’s an Inside Dog!!

5

6 Keep the Outside Dogs outside! & Keep the Inside Dogs inside! Coefficient Radicand

7 * 1.Multiply the Coefficients 2.Multiply the Radicands 3.Simplify

8 Multiply and then simplify

9

10 1.Divide the Coefficients 2. Divide the Radicands (if possible) 3.Rationalize the denominator (NO radicals in denominator) 4.Simplify

11

12 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.

13 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??

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?? Then Simplify!!! Reduce the fraction.

15 = = = =

16 = X = Y 3 = P 2 X 3 Y = 2X 2 Y = 5C 4 D 5

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

18 Keep the Outside Dogs outside! & Keep the Inside Dogs inside! Coefficient Radicand

19 Don’t even think about mixing coefficients and radicands!!!


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