Answer:
[tex]3\sqrt{5}[/tex]
Step-by-step explanation:
We remember the distance formula: Given two points [tex](x_{1}, y_{1})[/tex] and [tex](x_{2}, y_{2})[/tex], the distance between them is [tex]\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2}[/tex].
So, we plug in for our two points to get that the distance between them is [tex]\sqrt{(3-(-3))^2+(1-(-2))^2}=\sqrt{6^2+3^2}=\sqrt{36+9}=\sqrt{45}=\sqrt{9\cdot 5}=\sqrt{3^2\cdot 5}=\sqrt{3^2}\cdot \sqrt{5}=\boxed{3\sqrt{5}}[/tex]
