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: 23

Answer

It can be seen that Mark incorrectly simplified the square root of 10 to 5. The correct answer is $xy^{4}\sqrt {10}$.

Work Step by Step

Step 1: We will solve the expression to find the correct answer and to determine Mark's mistake. Step 2: $\sqrt {10x^{2}y^{8}}$ Step 3: $\sqrt {10}\times\sqrt {x^{2}}\times\sqrt {y^{8}}$ Step 4: $\sqrt {10}\times(x)^{2\times\frac{1}{2}}\times (y)^{8\times\frac{1}{2}}$ Step 5: $\sqrt {10}\times(x)\times (y)^{4}$ Step 6: Therefore, the correct answer is $xy^{4}\sqrt {10}$. Step 7: It can be seen that Mark incorrectly simplified the square root of 10 to 5.
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