Intermediate Algebra (6th Edition)

Published by Pearson
ISBN 10: 0321785045
ISBN 13: 978-0-32178-504-6

Chapter 7 - Review: 4

Answer

not a real number

Work Step by Step

$\sqrt[4] -16=\sqrt[4] (-1\times16)=\sqrt[4] -1\times\sqrt[4] 16$ We cannot simplify any more, as $\sqrt[4] -1$ is not a real number. We cannot find a number $a$ such that $a^{4}=-1$. In general, we cannot take the root of a negative number when the index (the number above the radical) is an even number.
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