To determine the square root of -1, we need to understand the concept of imaginary numbers in mathematics.
1. Imaginary numbers are an extension of the real number system. The imaginary unit is denoted as [tex]\(i\)[/tex], where:
[tex]\[
i^2 = -1
\][/tex]
2. By definition, the square of [tex]\(i\)[/tex] gives us [tex]\(-1\)[/tex]:
[tex]\[
i^2 = -1
\][/tex]
3. Therefore, [tex]\(i\)[/tex] is defined as the principal square root of [tex]\(-1\)[/tex]:
[tex]\[
\sqrt{-1} = i
\][/tex]
Therefore, the square root of [tex]\(-1\)[/tex] is [tex]\(i\)[/tex].
So, the correct answer is:
i
