To determine the square roots of 64, we need to find which given options, when squared, result in 64. Let's go through each option:
A. -4
[tex]\[
(-4)^2 = 16 \quad \text{(Incorrect, as } 16 \neq 64\text{)}
\][/tex]
B. 8
[tex]\[
8^2 = 64 \quad \text{(Correct, as } 64 = 64\text{)}
\][/tex]
C. 8.5
[tex]\[
8.5^2 = 72.25 \quad \text{(Incorrect, as } 72.25 \neq 64\text{)}
\][/tex]
D. [tex]\(|8|\)[/tex]
[tex]\[
|8| = 8 \quad \text{and we already know that } 8^2 = 64 \quad \text{(Correct)}
\][/tex]
E. 4
[tex]\[
4^2 = 16 \quad \text{(Incorrect, as } 16 \neq 64\text{)}
\][/tex]
F. -8
[tex]\[
(-8)^2 = 64 \quad \text{(Correct, as } 64 = 64\text{)}
\][/tex]
Thus, the correct answers are:
- B. 8
- D. [tex]\(|8|\)[/tex]
- F. -8
