## Find all the complex square roots of w= 36(cos60°+ isin60°). Write the roots in polar form with θ in degrees.

Question

Lost your password? Please enter your email address. You will receive a link and will create a new password via email.

## Answers ( )

Answer:3√3+i3

Step-by-step explanation:w= 36(cos60°+ isin60°)

√w = =√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)

=3√3+i3