Sue Pemberton, Julianne Hughes and, Julian Gilbey Solutions for Chapter: Complex Numbers, Exercise 7: EXERCISE 11D

The solution of $(z-5{)}^3=8$ is

The solution of $(2z+3{)}^3=\frac{1}{64}$ is 

It is given that $z-3$ is a factor of $z^3-3z^2+25z-75.$ Then the solution of $z^3-3z^2+25z-75=0$ is

The square root of $7+\left(6\sqrt{2}\right)i$ is 

The square root of $\frac{5}{4}-i\sqrt{6}$ is 

The square root of $7-24i$ is 

The square root of $-4+\left(2\sqrt{5}\right)i$ is 

The square root of $\frac{1}{2}{e}^{\frac{\pi }{2}i}$ is