Question

a expressão (1/(raiz de 3 mais raiz de 2)) + 2/raiz de 2 é igual a?

Answer 1

$\frac{1}{\sqrt{3}+2}= \frac{1}{\sqrt{3}+2}\cdot\frac{\sqrt{3}-2}{\sqrt{3}-2}=\frac{\sqrt{3}-2}{(\sqrt{3})^2-2^2}=\frac{\sqrt{3}-2}{3-4}=\frac{\sqrt{3}-2}{-1}=-\sqrt{3}+2=2-\sqrt{3}$

$\frac{2}{\sqrt{2}} =\frac{2}{\sqrt{2}} \cdot\frac{\sqrt{2}}{\sqrt{2}} =\frac{2\sqrt{2}}{\sqrt{4}} =\frac{2\sqrt{2}}{2}=\sqrt{2}$

$\frac{1}{\sqrt{3}+2}+\frac{2}{\sqrt{2}} =2-\sqrt{3}+ \sqrt{2}}$