Calculate 14i Give your answer in abi form In polar form use

Calculate 1+4i. Give your answer in a+bi form. In polar form, use the angle 0<20<2.

Solution

sqrt(1+4i)

r=sqrt(1+16)=sqrt17

theta=tan^-14=1.326radian

(sqrt17(cos 1.326+i sin1.326))^(1/2)

17^(1^4)(cos(1.326/2) +isin(1.326/2))

2.03(.788+.615i)

1.6+1.25i