# What is the distance between  (2, 5)  and  (–4, 7) ?

Jan 21, 2016

$2 \sqrt{10}$ units

#### Explanation:

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

sqrt[ (-4-2)^2 + (7-5)^2

sqrt[ (-6)^2 + (2)^2

$\sqrt{\left(36 + 4\right)}$

$\sqrt{40}$

$\sqrt{4 \times 10}$

$2 \sqrt{10}$ units