Question

Alguém sabe resolver???

Answer 1

$Bom \: \: dia!!! \\ \\ x = \frac{ \sqrt{3} }{ \sqrt{7} + \sqrt{3} } + \frac{ \sqrt{7} }{ \sqrt{7} - \sqrt{3} } \\ x = \frac{ \sqrt{3} }{ \sqrt{7} + \sqrt{3} } \times \frac{( \sqrt{7} - \sqrt{3}) }{( \sqrt{7} - \sqrt{3} )} + \frac{ \sqrt{7} }{ \sqrt{7} - \sqrt{3} } \times \frac{( \sqrt{7} + \sqrt{3} )}{( \sqrt{7} + \sqrt{3} )} \\ x = \frac{ \sqrt{21} - 3}{4 } + \frac{7 + \sqrt{21} }{4} \\ x = \frac{ \sqrt{21} - 3 + 7 + \sqrt{21} }{4} \\ x = \frac{2 \sqrt{21} + 4 }{4} \\ x = \frac{2( \sqrt{21} + 2) }{4} \\ x = \frac{ \sqrt{21} + 2 }{2} \\ \\ Espero \: \: ter \: \: ajudado! :)$