Question

What is the answer of square root of -24 in complex numbers

Answer 1

With
`√(-1)=i`, we have

`√(-24)=√((-1)(24))=√(-1)√(24)=i√(24)`

Since
`24=2^3\cdot3`, we can further write this as

`i√(24)=i√(2^2\cdot6)=2i\sqrt6`