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

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

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

Meet “Radicand” He’s an Inside Dog!!

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

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

Multiply and then simplify

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

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.

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??

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.

= = = =

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

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

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

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