College Algebra 7th Edition

Published by Brooks Cole
ISBN 10: 1305115546
ISBN 13: 978-1-30511-554-5

Chapter P, Prerequisites - Section P.7 - Rational Expressions - P.7 Exercises: 91

Answer

$\frac{-4}{3(1+\sqrt{5})}$

Work Step by Step

We simplify the fraction by multiplying through by $1+\sqrt{5}$ and using the fact that $(a-b)(a+b)=a^2-b^2$: $\displaystyle \frac{1-\sqrt{5}}{3}=\frac{1-\sqrt{5}}{3}* \displaystyle \frac{1+\sqrt{5}}{1+\sqrt{5}}=\frac{1-5}{3(1+\sqrt{5})}=\frac{-4}{3(1+\sqrt{5})}$
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