Question

multiply this and rationalize the denominator ​

Answer 1

$= > \frac{1}{ \sqrt{2} } \times \frac{ \sqrt{3} }{2 + 2 \sqrt{3} } \\ = > \frac{ \sqrt{3} }{2 \sqrt{2} + 2 \sqrt{6} } \\ = > \\ = > \frac{ \sqrt{3} }{2 \sqrt{2} + 2 \sqrt{6} } \times \frac{2 \sqrt{2} - 2 \sqrt{6} }{2 \sqrt{2} - 2 \sqrt{6} } \\ = > \frac{2 \sqrt{6} - 6\sqrt{2} }{8 - 24} \\ = > \frac{2 \sqrt{6} - 6 \sqrt{2} }{ - 16} \\ = > - \frac{ \sqrt{6} - 3 \sqrt{2} }{8}$