Given:
[tex]\sqrt{-1.21}[/tex]You need to remember this property for Radicals:
[tex]\sqrt[n]{b^n}=b[/tex]You know that:
[tex]121=11\cdot11=11^2[/tex]Therefore, you can conclude that:
[tex]1.21=1.1^2[/tex]Hence, you can rewrite the expression as follows:
[tex]=\sqrt[]{-(1.1)^2}[/tex]By definition:
[tex]\sqrt[]{-1}=i[/tex]Then, you can rewrite it as:
[tex]=1.1i[/tex]Therefore, it is an Imaginary Root.
Hence, the answer is: Last option.