The expression is \(\sqrt{3} + \sqrt{7} - \sqrt{\frac{4}{3}}\).
This can be simplified as \(\sqrt{3} + \sqrt{7} - \frac{2}{\sqrt{3}}\).
Further simplification yields \(\sqrt{3} + \sqrt{7} - \frac{2\sqrt{3}}{3}\) which is \(\frac{3\sqrt{3} - 2\sqrt{3}}{3} + \sqrt{7}\) or \(\frac{\sqrt{3}}{3} + \sqrt{7}\).