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Elementary and Intermediate Algebra
Mark Dugopolski, Southeastern Louisiana University

Radicals and Rational Exponents
Complex Numbers

Warm-Ups



1

The set of real numbers is a subset of the set of complex numbers.
A)TRUE
B)FALSE
2

2 - (-6)1/2 = 2 - 6i
A)TRUE
B)FALSE
3

(-9)1/2 = ±3i
A)TRUE
B)FALSE
4

The solution set to the equation x2 = -9 is {±3i}.
A)TRUE
B)FALSE
5

2 - 3i - (4 - 2i) = -2 - i
A)TRUE
B)FALSE
6

i4 = 1
A)TRUE
B)FALSE
7

(2 - i)(2 + i) = 5
A)TRUE
B)FALSE
8

i3 = i
A)TRUE
B)FALSE
9

i48 = 1
A)TRUE
B)FALSE
10

The equation x2 = k has two complex solutions for any real number k.
A)TRUE
B)FALSE