College Algebra (6th Edition)

Published by Pearson
ISBN 10: 0-32178-228-3
ISBN 13: 978-0-32178-228-1

Chapter P - Prerequisites: Fundamental Concepts of Algebra - Exercise Set P.3: 110



Work Step by Step

$$\sqrt[3]{\sqrt{\sqrt{169}+\sqrt{9}}+\sqrt{\sqrt[3]{1000}+\sqrt[3]{216}}}$$ $$=\sqrt[3]{\sqrt{13+3}+\sqrt{10+6}}$$ $$=\sqrt[3]{\sqrt{16}+\sqrt{16}}$$ $$=\sqrt[3]{4+4}$$ $$=\sqrt[3]{8}$$ $$=2$$
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