Question

cm resolver raiz de 0,2+raiz de 0,3?

Answer 1

$\sqrt{0,2}+ \sqrt{0,3}= \\ = \sqrt{\frac{2}{10}}+ \sqrt{ \frac{3}{10}}= \\ =\frac{\sqrt{2}}{\sqrt{10}}+ \frac{ \sqrt{3}}{\sqrt{10}}= \\ = \frac{(\sqrt{10}).(\sqrt{2}+\sqrt{3})}{\sqrt{10}.\sqrt{10}}= \\ = \frac{ \sqrt{20} + \sqrt{30}}{10} = \\ = \frac{2\sqrt{5}+ \sqrt{6}.\sqrt{5}}{10}= \\ (\sqrt{5}).(\frac{2+\sqrt{6}}{10})$