Question

tell if the square root is rational, irrational, or not a real number. if the
places.

\\\sqrt{-121}\\

is the square root rational, irrational, or not a real number?

• irrational
• rational
• not a real number

Explanation:

⚡ Using what you learned: Real Number System Overview

Step 1: Analyze the radicand

The expression is:

$$ \sqrt{-121} $$

The value inside the square root (the radicand) is \( -121 \), which is a negative number.

Step 2: Determine the number type

In the real number system, the square root of a negative number is not defined because no real number multiplied by itself results in a negative value:

$$ \text{For any real number } x, \, x^2 \ge 0 $$

Therefore, \( \sqrt{-121} \) is not a real number.

Answer:

Not a real number