Question

1. what is the principal square root of 64?

-8
32
8
-32

Explanation:

Step1: Define principal square root

The principal square root of a non-negative number is the non-negative square root, i.e., $\sqrt{x} \geq 0$ for $x \geq 0$.

Step2: Calculate square root of 64

Find $n$ such that $n^2 = 64$. We know $8^2 = 64$ and $(-8)^2 = 64$.

Step3: Select non-negative root

Since principal square root is non-negative, choose 8.

Answer:

8 (Option C: 8)