Do Now: Simplify the expression.

Algebra II 5.1: nth Roots and Rational Exponents Objective: to Solve equations using nth roots

nth roots  

Core Concept n is even n is odd a < 0 no real roots one real root two real roots

Example 1: Find the indicated real nth root(s) of a a) n = 3, a = -216 b) n = 4, a =81

Practice: Find the indicated nth root(s) of a 1.) n = 4, a = -16 2.) n = 5, a = 243

Practice: Find the indicated nth root(s) of a 3.) n = 2, a = -49 2.) n = 3, a = -125

nth roots  

Why rational roots? What is a rational root?

Rational Exponents – Core Concept

Example 2

Example

Rewrite the expression using rational exponent notation.

Rewrite the expression using radical notation.