Pregunta
2) \( 2 \sqrt{2} \times \sqrt{3} \)
Ask by Wyatt Schmidt. in South Africa
Jan 23,2025
Solución de tutoría real
Respuesta verificada por el tutor
Responder
\( 2\sqrt{6} \)
Solución
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:** \( 2\sqrt{6} \)
Revisado y aprobado por el equipo de tutoría de UpStudy
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Simplifique esta solución 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!
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