$$\frac{2}{\sqrt{5}-\sqrt{3}}$$
$\sqrt{3}+\sqrt{5}\approx 3.968118785$
$$\frac{2\left(\sqrt{5}+\sqrt{3}\right)}{\left(\sqrt{5}-\sqrt{3}\right)\left(\sqrt{5}+\sqrt{3}\right)}$$
$$\frac{2\left(\sqrt{5}+\sqrt{3}\right)}{\left(\sqrt{5}\right)^{2}-\left(\sqrt{3}\right)^{2}}$$
$$\frac{2\left(\sqrt{5}+\sqrt{3}\right)}{5-3}$$
$$\frac{2\left(\sqrt{5}+\sqrt{3}\right)}{2}$$
$$\sqrt{5}+\sqrt{3}$$
Show Solution
Hide Solution