Question

root 3+root2 / 2root 2 +3root3​

Answer 1

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

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

$\frac{2 \sqrt{6} - 3 \sqrt{9} + 2 \sqrt{4} - 3 \sqrt{6} }{(4 \times 2) - (9 \times 3)}$

$\frac{ - \sqrt{6} - 3 \times 3 + 2 \times 2 }{8 - 27}$

$\frac{ - \sqrt{6} - 9 + 4}{ - 19}$

$\frac{ - \sqrt{6} - 5}{ - 19}$

$\frac{ - ( \sqrt{6} + 5)}{ - 19}$

$\frac{ \sqrt{6} + 5}{19}$