# What is the distance between (2,3)  and (0, 4)?

Jan 15, 2017

The distance is $\sqrt{5}$.

#### Explanation:

Using the formula of distance between two points:

$d = \sqrt{{\left({y}_{2} - {y}_{1}\right)}^{2} + {\left({x}_{2} - {x}_{1}\right)}^{2}}$

where the first point has coordinates $\left({x}_{1} , {y}_{1}\right)$ and the other point has coordinates $\left({x}_{2} , {y}_{2}\right)$.

So, we get that:

$d = \sqrt{{\left(4 - 3\right)}^{2} + {\left(0 - 2\right)}^{2}} = \sqrt{{1}^{2} + {\left(- 2\right)}^{2}} = \sqrt{1 + 4} = \sqrt{5}$.