Answer:
[tex]\sqrt{-98}=7i\sqrt{2}[/tex]
Step-by-step explanation:
We wish to simplify:
[tex]\sqrt{-98}[/tex]
We can rewrite it as such:
[tex]=\sqrt{-1\cdot 98} =\sqrt{-1\cdot 49\cdot2}=\sqrt{-1}\cdot\sqrt{49}\cdot\sqrt{2}[/tex]
Hence:
[tex]=i(7)\sqrt{2}[/tex]
Therefore:
[tex]\sqrt{-98}=7i\sqrt{2}[/tex]
