Given:
Consider the expression is [tex]\sqrt{-12}[/tex].
To find:
The value of given expression.
Solution:
We have,
[tex]\sqrt{-12}[/tex]
It can be written as
[tex]\sqrt{-12}=\sqrt{-1\times 12}[/tex]
[tex]\sqrt{-12}=\sqrt{-1}\times \sqrt{12}[/tex] [tex][\because \sqrt{ab}=\sqrt{a}\sqrt{b}][/tex]
[tex]\sqrt{-12}=i\times \sqrt{12}[/tex] [tex][\because \sqrt{-1}=i][/tex]
[tex]\sqrt{-12}=\sqrt{12}i[/tex]
Therefore, the value of given expression is [tex]\sqrt{12}i[/tex].
Note: all options are incorrect.
