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Presentation transcript:

Thursday: Announcements New Seating Chart Tomorrow I will have tests graded by tomorrow. If you missed test yesterday, then: Today after school Tomorrow before school 7:40

Radicals and Imaginary Numbers Chapter 4 Sections 4-5 and 4-6

Objectives I can simplify Radicals to Lowest Terms I can simplify negative radicals using “i”

Symbols Radical symbol Radical

Radical Basics If there is no index number listed, it is assumed to be a 2 (Square Root) The index number determines what root we are looking for

Method for Simplifying Prime Factor the number under the house (radical) Look at the value of the index number Cross off the index number of numbers or variables to bring one out of the house. If you don’t have enough, then they stay under the house.

Example 1 Simplify: Factor the 36 36 2 18 2 9 3 3

Example 2 Factor the 12 12 2 6 2 3 Simplify:

Example 3

Example 3

Complex Numbers Real Numbers Imaginary Numbers Rational Irrational

Complex Numbers The set of all numbers that can be written in the format: a + bi ; “a” is the real number part “bi’ is the imaginary part

The Imaginary Unit

Example 4

Example 5

Example 6

Homework WS 6-1