Question

simplify , rationalize the denominator
2√3-√2 / 2√3+√2​

Answer 1

Answer:

$\frac{2 \sqrt{3} - \sqrt{2} }{2 { \sqrt{3} } + \sqrt{2} } \times \frac{2 \sqrt{3} - \sqrt{2} } {2 \sqrt{3} - \sqrt{2} } \\ = \frac{12 - 4 \sqrt{6} + 2}{12 - 2} \\ = \frac{14 - 4 \sqrt{6} }{10 } \\ = \frac{7 - 2 \sqrt{6} }{ 5}$