Answered

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What is the square root of -1?

A. -i
B. i
C. -1
D. 1

Sagot :

GinnyAnswer
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
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