You have the following expression:
[tex]\frac{\sqrt[]{-40}}{\sqrt[]{-4}}[/tex]In order to simplify the previous expression, take into account that:
√(-1) = i
moreover, consider that 40 = 4*10 and √4 = 2. Then, you have:
[tex]\frac{\sqrt[]{-40}}{\sqrt[]{-4}}=\frac{\sqrt[]{-1\cdot4\cdot10}}{\sqrt[]{-1\cdot4}}=\frac{2i\sqrt[]{10}}{2i}=\sqrt[]{10}[/tex]Hence, the simplified expression is √10
