Answer:
\(4\sqrt{-2}\)
Step-by-step explanation:
We can write the expression \(\sqrt{-18}\) in another form, by decomposing the number 18.
\(\sqrt{-18}=\sqrt{9(-2)}=\sqrt{(3^{2})( -2)} =3\sqrt{-2}\)
Since the two terms have the same radicand, we can make the sum of the coefficients.
\(\sqrt{-2}+3\sqrt{-2}=4\sqrt{-2}\)
we can also express this number as
\(4\sqrt{-2}=\sqrt{-32}=4\sqrt{2}i\)
