What is the square root of -1?

Question 43 of 58beginner🧠 RememberVery Short1 mark

What is the square root of $-1$ ?

Correct Answer

The square root of $-1$ is denoted by the letter $i$ , which stands for an Imaginary Number.

Exercise: Think and Reflect | Q: 1 | (Page 24)

For More Understanding

Explanation

The textbook context explains that there is no Real Number that, when multiplied by itself, results in a negative number (since $1 \times 1 = 1$ and $-1 \times -1 = 1$ ). Because $\sqrt{-1}$ cannot exist on the number line, mathematicians stepped off the line and invented a new dimension of numbers denoted by the letter $i$ , standing for Imaginary Numbers.

Solution Steps

Step 1: Note that no real number multiplied by itself results in a negative number.
Step 2: Identify that mathematicians denoted $\sqrt{-1}$ by the letter $i$ , representing an Imaginary Number.

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