Answer:
[tex]\large\boxed{\sqrt{-98}=7\sqrt2\ i}[/tex]
Step-by-step explanation:
[tex]\sqrt{-98}=\sqrt{(-1)(49)(2)}\qquad\text{use}\ \sqrt{ab}=\sqrt{a}\cdot\sqrt{b}\\\\=\sqrt{-1}\cdot\sqrt{49}\cdot\sqrt2\qquad\text{use}\ \sqrt{-1}=i\ -\text{an imaginary unit}\\\\=i\cdot7\cdot\sqrt2\qquad\sqrt{49}=7\ \text{because}\ 7^2=49\\\\=7\sqrt2\ i[/tex]
