2) $$ 2 \sqrt{2} imes \sqrt{3} $$

Question

2) $$ 2 \sqrt{2} 	imes \sqrt{3} $$

UpStudy AI · Accepted Answer

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:** $$ 2\sqrt{6} $$
$$ 2\sqrt{6} $$

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