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5-5 Roots of Real Numbers II

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1 5-5 Roots of Real Numbers II
Objective: To simplify radicals having various indices, and to use a calculator to estimate the roots of numbers. HW: 5-5 Study Guide

2 Drill #58 Find the following roots: Factor the following polynomial:

3 Real nth Roots of n x > 0 positive x < 0 negative x = 0 even
(square root, fourth root, etc.) one + , one – no real roots odd one + one –

4 Even Roots of Variables
When evaluating even roots (n is even) of variables use absolute values when you get odd powers…WHY?

5 Classwork #57 Find the following roots:

6 Evaluating Roots of Monomials
To find a root of a monomial, split the monomial into a product of the factors, and evaluate the root of each factor. Examples:

7 Study Guide 5-6 #1,2,3

8 Evaluating Roots of Monomials
How do you evaluate roots when n does not divide evenly? Examples:

9 Homework Finish Study Guide 5-5


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