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 - 8.3 Multiplying and Dividing Radicals - 8.3 Exercises - Page 642: 13


$6a^{2}b^{3}\sqrt {5a}$

Work Step by Step

Step 1: $\sqrt {12a^{3}b}\times\sqrt {15a^{2}b^{5}}$ Step 2: $\sqrt {12a^{3}b\times15a^{2}b^{5}}$ Step 3: $\sqrt {180a^{5}b^{6}}$ Step 4: $\sqrt {180}\times\sqrt {a^{5}}\times\sqrt {b^{6}}$ Step 5: $\sqrt {36\times5}\times\sqrt {a^{4}\times a}\times b^{3}$ Step 6: $6\sqrt 5\times a^{2}\sqrt a\times b^{3}$ Step 7: $6\times a^{2}\times b^{3}\times\sqrt 5\times \sqrt a$ Step 8: $6a^{2}b^{3}\sqrt {5a}$
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