Solveeit Logo

Question

Mathematics for Economy Question on Preliminaries and functions

Let 2𝑧=-3+√3 𝑖 , 𝑖 = √−1. Then 2z 8 is equal to

A

81(1+3𝑖)−81 (1+\sqrt3 𝑖 )

B

81 (−1 + 3𝑖\sqrt3 𝑖 )

C

81(3+𝑖)81 (\sqrt3 + 𝑖 )

D

9(3+𝑖)9 (−\sqrt3 + 𝑖 )

Answer

81 (−1 + 3𝑖\sqrt3 𝑖 )

Explanation

Solution

The correct option is (B): 81 (−1 + 3𝑖\sqrt3 𝑖 )