Answer:
[tex]\sqrt[]{-28}=2\sqrt[]{7}i[/tex]Explanation:
The square roots of negative numbers do not exist on the number line.
This is the reason why there exist, Complex Numbers.
Under this, we have the definition:
[tex]\sqrt[]{-1}=i[/tex]Given
[tex]\sqrt[]{-28}[/tex]We can rewrite this as:
[tex]\begin{gathered} \sqrt[]{-1\times28} \\ OR \\ \sqrt[]{-1}\times\sqrt[]{28} \\ =\sqrt[]{-1}\times\sqrt[]{4\times7} \\ \\ =\sqrt[]{-1}\times\sqrt[]{4}\times\sqrt[]{7} \\ =i\times2\times\sqrt[]{7} \\ \\ =2\sqrt[]{7}i \end{gathered}[/tex]