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

Answer:
Step-by-step explanation:
given that both angles are the same, it is an equilateral right triangle.
we can use Pythagorean's theorem
[tex]a^2 + b^2 = c^2\\(\sqrt{6})^2+(\sqrt{6})^2= c^2\\ 12 = c^2 \\c = \sqrt{12} = \sqrt{4*3} = 2\sqrt{3}[/tex]