To solve for the square root of -1, let's analyze the problem in the context of complex numbers.
In the realm of real numbers, taking the square root of a negative number is not possible. However, in the field of complex numbers, we introduce the concept of an imaginary unit, denoted by [tex]\( i \)[/tex], which is defined as the square root of -1.
By definition:
[tex]\[ i^2 = -1 \][/tex]
Hence,
[tex]\[ i = \sqrt{-1} \][/tex]
Therefore, the square root of -1 is [tex]\( i \)[/tex].
Among the given choices:
1. [tex]\(-i\)[/tex]
2. [tex]\(i\)[/tex]
3. [tex]\(-1\)[/tex]
4. 1
The correct answer is:
[tex]\[ i \][/tex]
