# Chapter 14 - Exercises and Problems - Page 262: 30

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: $[\sqrt{\frac{P}{\rho}}]=\sqrt{\frac{kg/ms^2}{kg/m^3}}= \sqrt{\frac{m^2}{s^2}}=m/s$

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