What is the square root of the complex number -1? (2021)

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Question: What is the square root of the complex number -1? (2021)

Options:

Correct Answer: i

Exam Year: 2021

Solution:

The square root of -1 is defined as i.

What is the square root of the complex number -1? (2021)

What is the square root of the complex number -1? (2021)

Step 1: Understand what a square root is. The square root of a number is a value that, when multiplied by itself, gives the original number.
Step 2: Recognize that -1 is a negative number. In the real number system, there is no real number that can be squared to give a negative result.
Step 3: Learn about complex numbers. Complex numbers include a special unit called 'i', which is defined as the square root of -1.
Step 4: Therefore, the square root of -1 is defined as 'i'.

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