Elementary Algebra

Published by Cengage Learning
ISBN 10: 1285194055
ISBN 13: 978-1-28519-405-9

Chapter 9 - Roots and Radicals - 9.5 - Solving Radical Equations - Problem Set 9.5: 12

Answer

n=16

Work Step by Step

Recall, in order to cancel out a square root, we square both sides of the equation. Thus, we square both sides of the equation to obtain that 3n+1=49. We subtract by one on both sides and then divide both sides of the equation by 3 to isolate n and obtain: n=16. We now must check our solution: $\sqrt{3(16)+1} = 7 \\\\\ \sqrt {49}=7 \\\\ 7=7$ This is true, so n=16.
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