Intermediate Algebra: Connecting Concepts through Application

Published by Brooks Cole
ISBN 10: 0-53449-636-9
ISBN 13: 978-0-53449-636-4

Chapter 8 - Radical Functions - 8.2 Simplifying, Adding, and Subtracting Radicals - 8.2 Exercises - Page 634: 52

Answer

$23m\sqrt {n^{5}}$

Work Step by Step

Step 1: $5\sqrt {49m^{2}n^{5}}-3m\sqrt {16n^{5}}$ Step 2: $5(\sqrt {49m^{2}}\times\sqrt {n^{5}})-3m(\sqrt {16}\times\sqrt {n^{5}})$ Step 3: $5(7m\times\sqrt {n^{5}})-3m(4\times\sqrt {n^{5}})$ Step 4: $35m\sqrt {n^{5}}-12m\sqrt {n^{5}}$ Step 5: $\sqrt {n^{5}}(35m-12m)$ Step 6: $\sqrt {n^{5}}(23m)$ Step 7: $23m\sqrt {n^{5}}$
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