Answer:
[tex]\large\boxed{A.\ 7i\sqrt2+71}[/tex]
Step-by-step explanation:
[tex]\text{Use}\\\\i=\sqrt{-1}\\\\\sqrt{ab}=\sqrt{a}\cdot\sqrt{b}\\----------------------\\\\\sqrt{-98}+71=\sqrt{(-1)(49)(2)}+71=\sqrt{-1}\cdot\sqrt{49}\cdot\sqrt2+71\\\\=i\cdoy7\cdot\sqrt2+71=7i\sqrt2+71[/tex]