Question

Find the length of side X in the simplest radical form of the rational denominator

Answer 1

`~~~~~~~\cos 45^(\circ) = \frac{\text{Base}}{\text{Hypotenuse}}\\\\\\\implies \frac 1{\sqrt 2} = (\sqrt 3)/(x)\\\\\\\implies x = \sqrt 3 \cdot \sqrt 2\\\\\\\implies x = \sqrt {3 * 2}\\\\\\\implies x = \sqrt 6`