College Algebra (10th Edition)

Published by Pearson
ISBN 10: 0321979478
ISBN 13: 978-0-32197-947-6

Chapter R - Section R.8 - nth Roots; Rational Exponents - R.8 Assess Your Understanding: 41

Answer

$x-2\sqrt{x}+1$

Work Step by Step

We simplify: $\displaystyle (\sqrt{x}-1)^2=(\sqrt{x}-1)(\sqrt{x}-1)=\sqrt{x}\sqrt{x}-\sqrt{x}-\sqrt{x}+1=x-2\sqrt{x}+1$
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