Answer
$2$
Work Step by Step
$$\sqrt[3]{\sqrt{\sqrt{169}+\sqrt{9}}+\sqrt{\sqrt[3]{1000}+\sqrt[3]{216}}}$$ $$=\sqrt[3]{\sqrt{13+3}+\sqrt{10+6}}$$ $$=\sqrt[3]{\sqrt{16}+\sqrt{16}}$$ $$=\sqrt[3]{4+4}$$ $$=\sqrt[3]{8}$$ $$=2$$
College Algebra (6th Edition)
by Blitzer, Robert F.
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 - Page 49: 110
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