Question

$(\sqrt{2} -\sqrt{3})/\\\sqrt{2} +\sqrt{3}$

Answer 1

Answer:

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Answer 2

$\frac{ \sqrt{2} - \sqrt{3} }{ \sqrt{2} + \sqrt{3} }$

$\implies \frac{ \sqrt{2} - \sqrt{3} }{ \sqrt{2} + \sqrt{3} } \times \frac{ \sqrt{2} - \sqrt{3} }{ \sqrt{2} - \sqrt{3} }$

$\implies \frac{ (\sqrt{2} - \sqrt{3} )^{2} }{ (\sqrt{2})^{2} - (\sqrt{3})^{2} }$

$\implies \frac{ (\sqrt{2} - \sqrt{3} )^{2} }{ 2 - 3 }$

$\implies \frac{{2 + 3 - 2 \sqrt{6} } }{ 2 - 3 }$

$\implies \frac{{5- 2 \sqrt{6} } }{ - 1 }$

$\orange{\therefore 2 \sqrt{6} - 5 }$