Question

Racionalizando o denominador da expressão √3-√2/√3+√2 obtem-se

Answer 1

√3-√2/√3+√2=

√3-√2/√3+√2 x √3-√2/√3-√2

3-2/3-√6+√3-√4
1/3-√6+√3-2
1/1-√6+√3

Answer 2

$\dfrac{ \sqrt{3} - \sqrt{2}}{ \sqrt{3} + \sqrt{2} } \\ \\ \\ \dfrac{ (\sqrt{3} - \sqrt{2}) .( \sqrt{3} + \sqrt{2}) }{( \sqrt{3} + \sqrt{2}) . ( \sqrt{3} + \sqrt{2}) } \\ \\ \\ \dfrac{ (\sqrt{3})^2 - (\sqrt{2})^2 }{ (\sqrt{3})^2 + 2\sqrt{3}.\sqrt{2} + (\sqrt{2})^2) } \\ \\ \\ \dfrac{ 3 - 2 }{ 3 + 2\sqrt{6} +2 } \\ \\ \\ \dfrac{1 }{ 5 + 2\sqrt{6} } \\ \\ \\ =\ \textgreater \ 5 - 2\sqrt{6}$