How do you find the distance between (sqrt7,5sqrt3), (-6sqrt7,-sqrt3)?

Feb 19, 2017

21.24 approx

Explanation:

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

the require distance would be

$\sqrt{{\left(- 6 \sqrt{7} - \sqrt{7}\right)}^{2} + {\left(- \sqrt{3} - 5 \sqrt{3}\right)}^{2}}$

=$\sqrt{{\left(- 7 \sqrt{7}\right)}^{2} + {\left(- 6 \sqrt{3}\right)}^{2}}$

=$\sqrt{343 + 108}$

=$\sqrt{451}$

=21.24 approx