Algebra 1: Common Core (15th Edition)

A) $\frac{\sqrt 2}{\sqrt 3}$ Multiplying the equation by $\frac{\sqrt3}{\sqrt3}$ $=\frac{\sqrt 2.\sqrt 3}{3}$ $=\frac{\sqrt 6}{3}$ B) $\frac{\sqrt 5}{\sqrt 18m}$ Multiplying the equation by $\frac{\sqrt 18m}{\sqrt 18m}$ $=\frac{\sqrt 5.\sqrt 18m}{\sqrt (18m)^2}$ $=\frac{\sqrt 90m}{18m}$ $=\frac{3\sqrt 10m}{18m}$ $=\frac{\sqrt 10m}{6m}$ C) $\sqrt \frac{7s}{3}=\frac{\sqrt 7s}{\sqrt 3}$ Multiplying the equation by $\frac{\sqrt3}{\sqrt3}$ $=\frac{\sqrt 7s.\sqrt 3}{3}$ $=\frac{\sqrt 21s}{3}$