Multiply. √3/2cis(2π/9)·√6/4cis(3π/2). Which is the answer?

a. 2√3/8cis(31π/18)

b. 3√2/8cis(π/3)

c. 3√2/8cis(31π/18)

d. 2√3/8cis(π/3)

I got answer a but im not sure if it's correct

What answer did you get?

Or better still, show me your working and I will tell you if it is correct.

i got 2sqrt2/8 cis 31pi/18

i got 3sqrt2/8 cis 31pi/18

check

\(\frac{\sqrt3}{2}*\frac{\sqrt6}{4}=\frac{\sqrt{2*9}}{8}=\frac{3\sqrt2}{8}\)