# Distance between (3,5) and (-5,13)?

Distance between (3,5) and (-5,13)?
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tiltat9h
Applying the Distance Formula with $\left({x}_{1},{y}_{1}\right)=\left(3,5\right)$ and $\left({x}_{2},{y}_{2}\right)=\left(-5,13\right)$ gives us
$\text{distance}=\sqrt{{\left({x}_{2}-{x}_{1}\right)}^{2}+{\left({y}_{2}-{y}_{1}\right)}^{2}}$
$=\sqrt{{\left(-5-3\right)}^{2}+{\left(13-5\right)}^{2}}$
$=\sqrt{64+64}$
$=\sqrt{128}=8\sqrt{2}$