Question

Evaluate: $(\frac{1}{2}\times \frac{\sqrt{3}}{2})+(\frac{1}{\sqrt{2}}\times \frac{1}{2})$

Answer 1

$(\frac{1}{2}\times \frac{\sqrt{3}}{2})+(\frac{1}{\sqrt{2}}\times \frac{1}{2})$

$(\frac{1}{2}\times \frac{\sqrt{3}}{2})+(\frac{1}{\sqrt{2}}\times \frac{1}{2}\times \frac{\sqrt{2}}{\sqrt{2}})$

$\frac{\sqrt{3}}{4}+\frac{\sqrt{2}}{4}=\frac{\sqrt{3}+\sqrt{2}}{4}$

Hence the correct answer is $\frac{\sqrt{3}+\sqrt{2}}{4}$