Answer
The proof is below.
Work Step by Step
We must prove that these units are the same as the units of speed, with are $m/s$. Thus, we find:
$[\sqrt{\frac{P}{\rho}}]=\sqrt{\frac{kg/ms^2}{kg/m^3}}= \sqrt{\frac{m^2}{s^2}}=m/s$
Essential University Physics: Volume 1 (3rd Edition)
by Wolfson, Richard
Published by
Pearson
ISBN 10:
0321993721
ISBN 13:
978-0-32199-372-4
Chapter 14 - Exercises and Problems - Page 262: 30
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