karinalo23
Answered

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What is the square root of -1?

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

Sagot :

GinnyAnswer
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]
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