Question

Simplifique a expressao raiz de 9/2menos raiz de 2/9

Answer 1

$\sqrt{\frac{9}{2}} - \sqrt{\frac{2}{9}} = \frac{3}{\sqrt{2}} -\frac{\sqrt{2}}{3}\\\\\frac{3}{\sqrt{2}}*\frac{\sqrt{2}}{\sqrt{2}}=\frac{3\sqrt{2}}{2}\\\\\frac{3\sqrt{2}}{2}-\frac{\sqrt{2}}{3}=\frac{9\sqrt{2}}{6}-\frac{2\sqrt{2}}{6}=\frac{7\sqrt{2}}{6}$