Question

Find the distance between the two points $(\sqrt{3}+1,1)$ and $(0,\sqrt{3})$.

Answer 1

Given the points are $(\sqrt{3}+1,1)$ and $(0,\sqrt{3}).$

Now the distance between the two points is,

$\sqrt{(\sqrt{3}+1-0{)}^2+(1-\sqrt{3}{)}^2}$

$=\sqrt{(\sqrt{3}+1{)}^2+(1-\sqrt{3}{)}^2}$

$=\sqrt{2\left\{\right(\sqrt{3}{)}^2+\left(1{)}^2\right\}}$

$=\sqrt{2\cdot 4}=\sqrt{8}units$