Answer:
3√3+i3
Step-by-step explanation:
w= 36(cos60°+ isin60°)
√w = [tex]w^{1/2}[/tex]=√36(cos60°+ isin60°)
=6√(cos60°+ isin60°)
now using DeMoivre's theorem
=(cos60°+ isin60°)^{1/2}
=(cos60°/2+ isin60°/2)=(cos30°+ isin30°)
w^{1/2}=6(cos30°+ isin30°)
=6(sqrt3/2+i1/2)[tex]\sqrt{frac{3}{2} }[/tex]
=3√3+i3
