1. Algebra 2
7.1 nth Roots and Rational Exponents
What is a square root? __________________________________________
What is a cube root? ____________________________________________
What is an nth root? ____________________________________________
Roots can also be written as an _____________________________________.
3 n
a b c
If you square a positive number, your answer is ___________________________
Square a negative number, answer is ____________________________
If you cube a positive number, your answer is ____________________________
Cube a negative number, answer is _____________________________
Even Roots Odd Roots
The root of a positive number has ______ The root of a positive number has _______
solutions: solution:
The root of 0 is _____ The root of 0 is ______
The root of a negative number is The root of a negative number is
_____________________ ________________________
EX1: Find the indicated nth roots.
a) n = 3, a = -125 b) n = 4, a = 16

2. Rational Exponents
EX2:
a) 93/2
b) 32-2/5
Solving Equations
EX3:
a) 2x 4 = 162
3
b) ( x − 2 ) = 10
HW p. 404 (14 – 40 even)