Semester 2 ­ Lesson #66 Simplifying Radicals and Numbe.notebook
Lesson #66
Warm UP
Notes Lesson #66
Simplify.
1. ( )
√4
3
2. √169
March 30, 2016
3. ( √25)
­3
Title: Simplifying Radicals
Objective: to simplify radical expressions. 4. 2x2y46x­3y­2x0
5. (10x7)2
­2x­3
6. 4(3x2z­2)0
Mar 7­6:27 AM
Steps to Simplify Radicals
1.) List all prime factors of the radicand
(make factor tree)
Mar 7­6:32 AM
Determine the index
2.) Circle groups of numbers and/or variables based on
the index
∛12x3
3.) Take one number or variable from each group circled
and write out front of radical , leave the numbers or
variables not circled under the radical
­5∜16a4
4.) Multiply numbers or variables in front of radical and
multiply numbers and variables left under radical
√ 4x2
Feb 3­11:04 AM
Mar 28­3:12 PM
Simplify.
1. √192
2. √50
Simplify.
3. √18
Mar 7­6:38 AM
4. ­5√300
Mar 7­6:38 AM
1
Semester 2 ­ Lesson #66 Simplifying Radicals and Numbe.notebook
March 30, 2016
(remember to look at the index for the amount of each number or variable to circle)
Simplify.
Simplify.
5. √45a5
7. ∛x4y6
6. √27n2
9.)
Mar 7­6:38 AM
3
8. ­ 2a ∜60a7
4
27
Mar 7­6:38 AM
Rewrite in radical notations and simplify:
1.) 491/2
2.) 1251/3
3.) 165/2
Assignments: Simplifying Radicals (front & back)
Mar 7­6:38 AM
Mar 28­3:27 PM
Mar 29­2:41 PM
2