Answer:
- 5 - 2i[tex]\sqrt{11}[/tex]
Step-by-step explanation:
Using the rule of radicals
[tex]\sqrt{a}[/tex] × [tex]\sqrt{b}[/tex] ⇔ [tex]\sqrt{ab}[/tex]
and [tex]\sqrt{-1}[/tex] = i
Evaluate the radical
[tex]\sqrt{-44}[/tex]
= [tex]\sqrt{4(11)(-1)}[/tex]
= [tex]\sqrt{4}[/tex] × [tex]\sqrt{11}[/tex] × i
= 2i[tex]\sqrt{11}[/tex]
Hence
- 5 - [tex]\sqrt{-44}[/tex]
= - 5 - 2i[tex]\sqrt{11}[/tex]
