Simplify. Assume $$ h $$ is greater than or equal to zero. $$ \sqrt{8 h} $$

Question

UpStudy AI · Accepted Answer

To simplify the expression $$\sqrt{8h}$$ with the assumption that $$h \geq 0$$, follow these steps:

1. **Factor the number inside the square root:**
   $$
   \sqrt{8h} = \sqrt{4 \times 2h}
   $$

2. **Separate the square root of the product into the product of square roots:**
   $$
   \sqrt{4 \times 2h} = \sqrt{4} \times \sqrt{2h}
   $$

3. **Simplify $$\sqrt{4}$$ since it's a perfect square:**
   $$
   \sqrt{4} = 2
   $$

4. **Combine the results:**
   $$
   2 \times \sqrt{2h} = 2\sqrt{2h}
   $$

So, the simplified form of $$\sqrt{8h}$$ is:

$$
2\sqrt{2h}
$$
$$ 2\sqrt{2h} $$

Simplify. Assume \( h \) is greater than or equal to zero. \[ \sqrt{8 h} \]