Question

racionaliza las expresiones
e : 2+√8        f: 2     g : 2    h: 2√n
3√3              3+√6     √x       √m


i : 2+√ n
√2


son fracciones

Answer 1

$\frac{2+ \sqrt{8} }{3 \sqrt{3} } = \\ \\ \frac{ \sqrt{3}(2+2 \sqrt{2} ) }{3\sqrt{3}(\sqrt{3})} = \\ \\ \frac{2\sqrt{3}+2\sqrt{6}}{9} \\ \\ \\ \frac{2}{3+\sqrt{6}}= \\ \\ \frac{2(3-\sqrt{6})}{(3)^2-(\sqrt{6})^2} = \\ \\ \frac{6-2\sqrt{6}}{9-6} = \\ \\ \frac{6- 2\sqrt{2} }{3} \\ \\ \\ \frac{2}{\sqrt{x}} = \\ \\ \frac{2\sqrt{x}}{x} \\ \\ \\ \frac{2\sqrt{n}}{\sqrt{m}}= \\ \\ \frac{2\sqrt{mn}}{m} \\ \\ \\ \frac{2+\sqrt{n}}{\sqrt{2}} = \\ \\ \frac{\sqrt{2}(2+\sqrt{n})}{2}=$
$\frac{2 \sqrt{2}+ \sqrt{2n} }{2}$