Calculate the following expression value (Complex Numbers)

70 Views Asked by At

Hi the following is the equation to solve which I am lost as I do not quite understand the method of using complex numbers to solve. Please help!

$ \sqrt[4]{\frac{-18} {1+i\sqrt{3}}} = \frac {\sqrt[4]{18-18i\sqrt{4}}}{4}$

After multiplying the conjugate. But I do not know how to solve the numerator.

Thank You!

1

There are 1 best solutions below

1
On BEST ANSWER

I would conjugate the denominator and then use DeMoivre's Theorem with exponent 1/4.