5) $$ 5 \sqrt{20} imes 3 \sqrt{15} $$

Question

5) $$ 5 \sqrt{20} 	imes 3 \sqrt{15} $$

UpStudy AI · Accepted Answer

To simplify the expression $$ 5 \sqrt{20} \times 3 \sqrt{15} $$, follow these steps:

1. **Multiply the coefficients (numbers outside the square roots):**
   $$
   5 \times 3 = 15
   $$

2. **Multiply the square roots:**
   $$
   \sqrt{20} \times \sqrt{15} = \sqrt{20 \times 15} = \sqrt{300}
   $$

3. **Simplify $$ \sqrt{300} $$:**
   $$
   \sqrt{300} = \sqrt{100 \times 3} = \sqrt{100} \times \sqrt{3} = 10\sqrt{3}
   $$

4. **Combine the results:**
   $$
   15 \times 10\sqrt{3} = 150\sqrt{3}
   $$

**Final Answer:**
$$
150\sqrt{3}
$$
$$ 150\sqrt{3} $$

5) \( 5 \sqrt{20} \times 3 \sqrt{15} \)