Question

Ajudeem
Qual a forma racionalizada de:

Answer 1

Resposta:

$\frac{ (\sqrt{2} + \sqrt{3} )}{ ( \sqrt{2} - \sqrt{3} ) }\\ \\ \frac{( \sqrt{2} + \sqrt{3} )( \sqrt{2} + \sqrt{3} ) }{( \sqrt{2} - \sqrt{3} )( \sqrt{2} + \sqrt{3} )}\\ \\ \frac{( \sqrt{2} + \sqrt{3} )( \sqrt{2} + \sqrt{3} )}{{(\sqrt{2})}^{2} - {(\sqrt{3})}^{2}}\\ \\ \frac{( \sqrt{2} + \sqrt{3} )( \sqrt{2} + \sqrt{3} )}{2 - 3}\\ \\ \frac{( \sqrt{2} + \sqrt{3} )( \sqrt{2} + \sqrt{3} )}{-1}\\ \\ - ( \sqrt{2} + \sqrt{3} )( \sqrt{2} + \sqrt{3} ) \\ \\ -({(\sqrt{2})}^{2} + 2(\sqrt{2})(\sqrt{3})+{(\sqrt{3})}^{2})\\ \\ - (5 + 2 \sqrt{6} ) \\ \\ - 5 - 2 \sqrt{6}$

Espero Ter Ajudado !!