Question

Rationale the denominator and simplify √3-√2/√3+√2

Answer 1

this is the answer for Rationale the denominator and simplify √3-√2/√3+√2

Answer 2

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