Question

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

Answer 1

Now, $\sqrt{2}i-\sqrt{-2}i=\sqrt{2}-i\sqrt{2}.i=\sqrt{2}i+\sqrt{2}$. [ Since $\sqrt{-1}=i$]

So modulus of the given complex number is $\sqrt{(\sqrt{2}{)}^2+(\sqrt{2}{)}^2}=\sqrt{4}=2$.