Question

How much is the square root of -2?

Answer 1

Explanation:

In the set of all real numbers the square root of negative number does not exist.

In the set of complex number the square root of negative number is exist.

`i=√(-1)` - the imaginary unit

`√(-2)=√((-1)(2))=√(-1)\cdot\sqrt2=i\sqrt2`

Used

`√(ab)=√(a)\cdot√(b)`

Answer 2

`i√(2)`

Explanation:

"i" stands for imaginary number which is defined as
`√(-1)`