Question

Find the length of side x in simplest radical form with a rational denominator

Answer 1

ok

Explanation:

Answer 2

It's the triangle 30° - 60° - 90°.

The sides are in proportion 1 : √3 : 2 (look at the picture).

Therefore we have:

`x=(\sqrt6\cdot\sqrt3)/(2)=(√((6)(3)))/(2)=(√(18))/(2)=(√((9)(2)))/(2)\\\\=(\sqrt9\cdot\sqrt2)/(2)=\boxed{(3\sqrt2)/(2)}`