Introductory Algebra for College Students (7th Edition)

Published by Pearson
ISBN 10: 0-13417-805-X
ISBN 13: 978-0-13417-805-9

Chapter 8 - Section 8.1 - Finding Roots - Exercise Set: 82

Answer

all real numbers

Work Step by Step

For $\sqrt{x^2+3}$ to be a real number, $x^2+3$ must be non-negative. $x^2+3\geq0$ Subtract 3 from both sides of the inequality and simplify. $x^2+3-3\geq0-3$ $x^2\geq-3$ Since $x^2$ is always non-negative, the expression is true for all real number values of x.
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