Rationalizing using the Conjugate LT I will multiply

Rationalizing using the Conjugate LT: I will multiply binominals in radical form and use the conjugate to rationalize the denominator Success Criteria q I can use the foil method to multiply radicals q I can use the conjugate to rationalize the denominator Today’s Agenda ü Do Now ü Lesson ü HW#20

Home Questions?

Simplify radicals first.

Product Property of Radicals If you have the same index, then you can multiply the radicands.

Product Property of Radicals Also, go the other way, the simplify radical expressions

Quotient Property of Radicals Quotients can be broken apart.

Some rules about Radicals can not have fractions in them. This is called Rationalizing the denominator.

Some rules about Radicals can not be in the denominator. No tents in the basement.

Multiply Radicals Remember foiling

Multiply Radicals Try foiling

Simplify One More Time!

Conjugate You can not have radicals in the denominator. We have to use the conjugate to rational the denominator in fractions.

Conjugate You can not have radicals in the denominator. We have to use the conjugate to rational the denominator in fractions.

Conjugate You can not have radicals in the denominator. We have to use the conjugate to rational the denominator in fractions.

Simplify Use the conjugate

Simplify Use the conjugate

Simplify One More Time! Use the conjugate

HW#20

Multiplying and dividing radicals with radicals LT: I will multiply and divide radicals with variables Success Criteria q I can simplify radicals with variables q I can multiply radicals with variables q I can divide radicals with variables Today’s Agenda ü Do Now ü Lesson ü HW#21

Homework Questions ? ? ?

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

Simplify

Simplify

Try

Simplify

Simplify

Simplify

Simplify

HW#21