Question
Real Tutor Solution
Tutor-Verified Answer
Answer
\( 16\sqrt{2} \)
Solution
To simplify \( 8 \sqrt{8} \), follow these steps:
1. **Simplify the square root:**
\[
\sqrt{8} = \sqrt{4 \times 2} = \sqrt{4} \times \sqrt{2} = 2\sqrt{2}
\]
2. **Multiply by 8:**
\[
8 \times 2\sqrt{2} = 16\sqrt{2}
\]
So, the simplified form of \( 8 \sqrt{8} \) is:
\[
16\sqrt{2}
\]
Reviewed and approved by the UpStudy tutoring team
Like
error msg
Explain 
Simplify this solution Mind Expander
To simplify \( 8 \sqrt{8} \), we start by rewriting \( \sqrt{8} \). Since \( \sqrt{8} = \sqrt{4 \cdot 2} = \sqrt{4} \cdot \sqrt{2} = 2\sqrt{2} \), we can substitute this back into the expression. Therefore, we have: \[ 8 \sqrt{8} = 8 \cdot 2\sqrt{2} = 16\sqrt{2}. \] So, the simplified form of \( 8 \sqrt{8} \) is \( 16 \sqrt{2} \).
