The standard form of complex number is a+ib

So, consider \(\displaystyle{2}{\left({ \cos{{30}}^{\circ}+}{i} \sin{{30}}^{\circ}\right)}\)

\(\displaystyle={2}{\left(\frac{\sqrt{{3}}}{{2}}+{i}\frac{1}{{2}}\right)}{\left[\therefore{ \cos{{30}}^{\circ}=}\frac{\sqrt{{3}}}{{2}}{ \sin{{30}}^{\circ}=}\frac{1}{{2}}\right]}\)

\(\displaystyle={2}{\left(\frac{{\sqrt{+}{i}}}{{2}}\right)}\)

Here \(\sqrt{3+i}\) is of the form a+ib

Hence, the standard form of given complex number is \(\sqrt{3+i}\)