Question

show that(-1+√3i)^3 is a real number.​

Answer 1

⇒(−1+3 i) ^3

⇒−1+3

3

i−3(−3)−3

3

i [∵(a−b)

3

=a

3

−b

3

−3ab(a−b)]

⇒−1+9=8