Can anyone help me find why do I get two different solutions for the following expression

46 Views Asked by At

Sorry if I'm a bit dumb today, it seems I Can't find where I went wrong in Solving the following expression in two different ways. Can anyone help?

Solution 1

$$\frac {\sqrt{27}}{\sqrt{-3}}=\sqrt{\frac{27}{-3}}=\sqrt{-9}=3i$$

Solution 2

$$\frac {\sqrt{27}}{\sqrt{-3}}= \frac {3\sqrt3}{\sqrt3\sqrt{-1}}= \frac{3}{i}=-3i$$