Answer
The solution is $m=\frac{7}{3}$.
Work Step by Step
$\frac{\sqrt 3m+2}{3}=1$
$\sqrt3m+2=3$
Square both sides:
$3m+2=9$
$m=\frac{7}{3}$
Check:
$\frac{\sqrt 3(\frac{7}{3})+2}{3}=1$
$1=1$
The solution is $m=\frac{7}{3}$
Algebra 1: Common Core (15th Edition)
by Charles, Randall I.
Published by
Prentice Hall
ISBN 10:
0133281140
ISBN 13:
978-0-13328-114-9
Chapter 10 - Radical Expressions and Equations - Chapter Test - Page 657: 18
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