1 Unit 13: Radicals Operate with Radicals

BELLWORK
Factoring Daily Quiz
Factor each of the following completely
Simplify each Radical expression
1. x2 + 2x ­ 48
2. 12x2 + 28x ­ 5
3. 4x2 + 16
4. 25y2 ­ 1
5. 10ac ­ 6ad + 5bc ­ 3bd
6. 4x4 ­ 61x2 + 225
Feb 22­2:56 PM
Quiz: Simplify Radicals
SPI 2.1
Feb 22­10:08 PM
Unit 13: Radicals
Operate with Radicals
SPI 2.1 Operate (add, subtract, multiply, divide,
simplify powers) with radicals and radical
expressions including radicands involving rational
numbers and algebraic expressions
Agenda
Identify Like/Unlike Radicals
Combine Like Radicals
Simplifying to Combine Like Radicals
Feb 22­10:08 PM
Feb 22­9:41 PM
1
Vocabulary
Combine Like Radicals
Like Radicals: Radicals that have the same Radicand
ex. 3√2 and 4√2
Unlike Radicals: Radicals that have different Radicands
ex. 5∛6 and 2∛9
Feb 22­9:45 PM
Combine Like Radicals
Feb 22­9:51 PM
Feb 22­9:51 PM
Combine Like Radicals
Feb 22­9:51 PM
2
Combine Like Radicals
Feb 22­9:51 PM
Simplify to Combine Like Radicals
Simplify to Combine Like Radicals
Feb 22­9:51 PM
Error Analysis
With a partner, discuss and correct the
error made in the following problem.
√6 + √24
√6 + 4√6
5√6
Feb 22­9:51 PM
Feb 22­10:19 PM
3
Practice and Apply
P. 616 #9-20
SPI 2.1
Writing: Are √3 and √12 like radicals?
Can their sum be simplified? Explain.
Add/Subtract Radicals
Feb 22­10:16 PM
Feb 22­10:34 PM
4