Question

racionalizar √2/√5+2​

Answer 1

Resposta:

$\frac{ \sqrt{2} }{ \sqrt{5} + 2} \times \frac{ \sqrt{5} - 2}{ \sqrt{5} - 2} = \frac{ \sqrt{10} - 2 \sqrt{2} }{5 - 2 \sqrt{5} + 2 \sqrt{5} - 4} = \frac{ \sqrt{10} - 2 \sqrt{2} }{5 - 4} = \sqrt{10} - 2 \sqrt{2}$