1. 9-7-18 & 9-10-18 AM2.2a To Simplify Radicals and Roots (You will need a calculator)

2. Active Learning Assignment?4

3. Extra: The radical sign comes from the old
European way of writing an “r”:
Which makes sense—radical!
Radical sign
Power
Index
Root
If there’s no index, it’s understood to be “2”
Very important!
Radicand
Use your calculator to find roots:
or 2. 1
Power
Root
(If you want the 4th root, do this first.)
(Above the ^ on TI 30-X)
(Use parentheses!) 3

4. Radical Rules for Reals:
LESSON:
Radical Rules for Reals:
No fractions under the radical.
No radicals under the fraction.
No perfect powers under the radical.
No negative values under the EVEN radical.
Remember:
When dealing with exponents, leave the bases alone.
Powers & Roots don’t play nicely with Add. & Subt.
What happens under the radical stays under the radical.
Exponents only belong to what they are next to.
ODD Powers and Roots are nice!
Remember:

5. LESSON:
Simplify with Real Number Answers and Exact Values 1
Power 8 -7 -2
Root 4 *
*Answers will be integers or ratios, proper or improper, unless the problem is in decimal, then the answer will be decimal.

6. *** When solving with even roots, your answer must be ±2 1
(6 divided by 2!)
Solve:
(2 real sol’ns)
***
*** When solving with even roots, your answer must be ±

7. Active Learning Assignment:
Practice Handout AM2.2a
1-34, Columns 1 & 2