Question

Find the modulus of the complex number $-2+2\sqrt{3}i$.

• A. 2
• B. 4
• C. 6
• D. 8

Answer 1

Answer: (B)

4

The given complex number is $-2+2\sqrt{3}i$.

we know that if $z=x+iy\Rightarrow |z|=\sqrt{x^2+y^2}$

Thus, modulus = $\sqrt{(-2{)}^2+(2\sqrt{3}{)}^2}=\sqrt{4+12}=\sqrt{16}=4$.