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

Active Learning Assignment? 4

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: 1. or 2. 1 Power Root (If you want the 4th root, do this first.) (Above the ^ on TI 30-X) (Use parentheses!) 3

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:

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.

*** 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 ±

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