Given:
The radical expression is
[tex]\pm \sqrt{-22}[/tex]
To find:
The simplified form of the given expression by using the imaginary unit i.
Solution:
We have,
[tex]\pm \sqrt{-22}[/tex]
It can be written as
[tex]\pm \sqrt{-22}=\pm \sqrt{22}\sqrt{-1}[/tex] [tex][\because \sqrt{ab}=\sqrt{a}\sqrt{b}][/tex]
[tex]\pm \sqrt{-22}=\pm \sqrt{22}i[/tex] [tex][\because \sqrt{-1}=i][/tex]
Therefore, [tex]\pm \sqrt{-22}=\pm \sqrt{22}i[/tex].
