$$\quad \frac { 4 \sqrt { 3 } } { \sqrt { 7 } + \sqrt { 5 } }$$
$2\sqrt{21}-2\sqrt{15}\approx 1.419184697$
$$\frac{4\sqrt{3}\left(\sqrt{7}-\sqrt{5}\right)}{\left(\sqrt{7}+\sqrt{5}\right)\left(\sqrt{7}-\sqrt{5}\right)}$$
$$\frac{4\sqrt{3}\left(\sqrt{7}-\sqrt{5}\right)}{\left(\sqrt{7}\right)^{2}-\left(\sqrt{5}\right)^{2}}$$
$$\frac{4\sqrt{3}\left(\sqrt{7}-\sqrt{5}\right)}{7-5}$$
$$\frac{4\sqrt{3}\left(\sqrt{7}-\sqrt{5}\right)}{2}$$
$$\frac{4\sqrt{3}\sqrt{7}-4\sqrt{3}\sqrt{5}}{2}$$
$$\frac{4\sqrt{21}-4\sqrt{3}\sqrt{5}}{2}$$
$$\frac{4\sqrt{21}-4\sqrt{15}}{2}$$
Show Solution
Hide Solution
