Question
2) \( 2 \sqrt{2} \times \sqrt{3} \)
Ask by Wyatt Schmidt. in South Africa
Jan 23,2025
Real Tutor Solution
Tutor-Verified Answer
Answer
\( 2\sqrt{6} \)
Solution
To simplify the expression \( 2 \sqrt{2} \times \sqrt{3} \), follow these steps:
1. **Multiply the constants and the square roots separately:**
\[
2 \times \sqrt{2} \times \sqrt{3}
\]
2. **Multiply the square roots using the property \( \sqrt{a} \times \sqrt{b} = \sqrt{a \times b} \):**
\[
\sqrt{2} \times \sqrt{3} = \sqrt{2 \times 3} = \sqrt{6}
\]
3. **Now, multiply the constant 2 by the simplified square root:**
\[
2 \times \sqrt{6} = 2\sqrt{6}
\]
**Final Answer:** \( 2\sqrt{6} \)
Reviewed and approved by the UpStudy tutoring team
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Simplify this solution Mind Expander
Let’s simplify that expression! First, we can multiply the constants and then the square roots. So, \( 2 \sqrt{2} \times \sqrt{3} = 2 \times \sqrt{2} \times \sqrt{3} \). Now, using the property of square roots, \( \sqrt{2} \times \sqrt{3} = \sqrt{6} \). Therefore, we have \( 2 \sqrt{6} \)! This is a perfect example of how you can combine constants and radicals in a neat way. When you tackle similar problems, remember to separate the constant multipliers from the square roots to simplify your calculations. It can save you time and reduce errors—just another math victory!
