Algebra 1: Common Core (15th Edition)

Published by Prentice Hall
ISBN 10: 0133281140
ISBN 13: 978-0-13328-114-9

Chapter 11 - Rational Expressions and Functions - 11-1 Simplifying Rational Expressions - Lesson Check - Page 667: 4


a. The expression is not a rational expression. b. The expression is a rational expression.

Work Step by Step

a. Remember that a rational expression consists of a polynomial over a polynomial. Polynomials also have degrees. The $\sqrt x$ does not have a degree (it has a non-integer exponent) so it is not considered a rational expression. b. It is a rational expression because all of the terms have degrees (exponents).
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