Question 67
Let $a\lt0$. Simplify
$$\frac{\sqrt{27a^2}-\sqrt{12a^2}+a\sqrt{108}+5\sqrt3}{5\sqrt3a-5\sqrt3}.$$
Find its value for $a=-2^{-1}$.
$$\frac{\sqrt{27a^2}-\sqrt{12a^2}+a\sqrt{108}+5\sqrt3}{5\sqrt3a-5\sqrt3}.$$
Find its value for $a=-2^{-1}$.
MathNet 2013 Question 67
Math Olympiad Vault · MathNet 2013