Elementary and Intermediate Algebra: Concepts & Applications (6th Edition)

Published by Pearson
ISBN 10: 0-32184-874-8
ISBN 13: 978-0-32184-874-1

Chapter 10 - Exponents and Radicals - 10.5 Expressions Containing Several Radical Terms - 10.5 Exercise Set - Page 661: 104


$$2^{\frac{7}{12}}x^{\frac{7}{12}}+5\cdot \:2^{\frac{5}{6}}x^{\frac{5}{6}}$$

Work Step by Step

We know that this expression is the same as telling us to multiply $f(x)$ and $g(x)$. Doing this, we find: $$ \left(2^{\frac{1}{4}}x^{\frac{1}{4}}+5\cdot \:2^{\frac{1}{2}}x^{\frac{1}{2}}\right)\left(2^{\frac{1}{3}}x^{\frac{1}{3}}\right)\\ 2^{\frac{1}{4}}x^{\frac{1}{4}}\left(2^{\frac{1}{3}}x^{\frac{1}{3}}\right)+5\cdot \:2^{\frac{1}{2}}x^{\frac{1}{2}}\left(2^{\frac{1}{3}}x^{\frac{1}{3}}\right)\\ 2^{\frac{7}{12}}x^{\frac{7}{12}}+5\cdot \:2^{\frac{5}{6}}x^{\frac{5}{6}}$$
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