Question

Find modulus of following

(i)$\pm \left(4+3i\right)$

(ii) $\pm \sqrt{2}+0i$

(iii) $0\pm \sqrt{2}i$

Answer 1

1) $\pm (4+3i)$

Modulus = $\sqrt{4^2+3^2}=5$

2) $\pm \sqrt{2}+0i$

Modulus = $\sqrt{{\sqrt{2}}^2+0^2}=\sqrt{2}$

3) $0\pm \sqrt{2}i$

Modulus = $\sqrt{0^2+{\sqrt{2}}^2}=\sqrt{2}$