Question

como racionalizar essa raiz (√2)/(√2-√3)

Answer 1

$\dfrac{ \sqrt{2} }{ \sqrt{2} - \sqrt{3} } \to~~ \\\\\\ \dfrac{ \sqrt{2} }{ \sqrt{2} - \sqrt{3} }\times \dfrac{ \sqrt{2} + \sqrt{3} }{ \sqrt{2} +\sqrt{3} } \to~~\\\\\\ \dfrac{ \sqrt{4} + \sqrt{6} }{ \sqrt{4} -\sqrt{9} } \to~~ \\\\\\\dfrac{ 2+ \sqrt{6} }{ 2-3 } \to~~ \\\\\\ \dfrac{ 2+ \sqrt{6} }{ -1 } \to~~ \\\\\\ \boxed{\boxed{- 2+ \sqrt{6} } }$