Question

If 5+√3/√7−43√=x+3–√ y find x and y

Answer 1

Answer:

[math]\begin{align*} \left(\sqrt x + \frac{1}{\sqrt x}\right)^2 & = x + 2 + \frac{1}{x} \\ & = (7+4\sqrt3) + 2 + \frac{1}{7+4\sqrt3} \\ & = (7+4\sqrt3) + 2 + (7-4\sqrt3) \\ & = 16 \end{align*}[/math]