Precalculus: Mathematics for Calculus, 7th Edition

Published by Brooks Cole
ISBN 10: 1305071751
ISBN 13: 978-1-30507-175-9

Chapter 1 - Section 1.2 - Exponents and Radicals - 1.2 Exercises: 5

Answer

Rationalizing a denominator means eliminating the radical in the denominator. $\frac{1}{\sqrt 3}$=$\frac{1}{\sqrt 3}$$\times$$\frac{\sqrt 3}{\sqrt 3}$= $\frac{\sqrt 3}{3}$

Work Step by Step

To rationalize a denominator, we need to multiply both the numerator and the denominator by the radical. It is equivalent to multiplying by one. Therefore, we do not change the mathematical value of the number.
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