Question

if a=7-4root3 find the value if root a = 1divided by root a

Answer 1

$$\sqrt{a} = \frac{1}{\sqrt{a}} \Rightarrow 1 = (\sqrt{a})^2 = a,$$ $$a = 7 - 4\sqrt{3}, \quad a > 0$$ $$a^2 = 49 - 2 * 16 * 3 + 16 * 3 = 49 - 96 + 48 = 1$$