Question

Find the modulus of each of the complex numbers.
1. $z=-1-i\sqrt{3}$
2. $z=-\sqrt{3}+i$

3. $z=1+i\sqrt{3}$

Answer 1

1. Modulus of $z=-1-i\sqrt{3}$ is $\sqrt{(-1{)}^2+(-\sqrt{3}{)}^2}=\sqrt{1+3}=2$

2. Modulus of $z=-\sqrt{3}+i$ is $\sqrt{(-\sqrt{3}{)}^2+1}=\sqrt{4}=2$

3. Modulus of $z=1+i\sqrt{3}$ is $\sqrt{1^2+(\sqrt{3}{)}^2}=\sqrt{4}=2$