Question

The simplest form of $\frac{\sqrt{3}}{\sqrt{2}}$ is

• A. $2\sqrt{3}$
• B. $\frac{6}{\sqrt{2}}$
  
• C. $\frac{\sqrt{6}}{2}$
  
• D. $\frac{3}{\sqrt{2}}$
  

Answer 1

The correct option is C $\frac{\sqrt{6}}{2}$


To get the simplest form of $\frac{\sqrt{3}}{\sqrt{2}}$, multiply by $\sqrt{2}$ in both numerator and denominator

$\Rightarrow \frac{\sqrt{3}}{\sqrt{2}}$
$=\frac{\sqrt{3}\times \sqrt{2}}{\sqrt{2}\times \sqrt{2}}$
$=\frac{\sqrt{3\times 2}}{\sqrt{2\times 2}}$
$=\frac{\sqrt{6}}{2}$
So, the simplest form of $\frac{\sqrt{3}}{\sqrt{2}}$ is $\frac{\sqrt{6}}{2}$