Question

Find all cube root of √3+i​

Answer 1

would start by converting the number into trigonometric form:

z=√3−i=2[cos(−π6)+isin(−π/6)]

The cube root of this number can be written as:

z1/3

Now with this in mind I use the formula for the nth power of a complex number in trigonometric form:

zn=rn[cos(nθ)+isin(nθ)]

giving:

z13=213[cos(−π6⋅13)+isin(−π6⋅13)]=213[cos(−π18)+isin(−π18)]

Which in rectangular is:

4.2

−

0.7i

hoi

good morning

Answer 2

In theMahabharata and the Ramayana , early epics that reflect life in India before 1000 B.C. and 500 B.C., respectively, the forest begins at the edge of the city, and the heroes regularly spend periods of exile wandering far from civilization before returning to rid the world of evil.

Thank you