Simplify the expression $$ \sqrt{300} $$

Question

UpStudy AI · Accepted Answer

To simplify the expression $$\sqrt{300}$$, follow these steps:

1. **Factor the Number Inside the Square Root:**
   
   Break down 300 into its prime factors or look for perfect squares that divide 300.

$$
   300 = 100 \times 3
   $$

Here, 100 is a perfect square because $$100 = 10^2$$.

2. **Apply the Square Root to Each Factor:**

$$
   \sqrt{300} = \sqrt{100 \times 3} = \sqrt{100} \times \sqrt{3}
   $$

3. **Simplify the Square Roots:**

$$
   \sqrt{100} = 10
   $$

So,

$$
   \sqrt{300} = 10 \times \sqrt{3} = 10\sqrt{3}
   $$

**Final Answer:**
$$
\sqrt{300} = 10\sqrt{3}
$$
$$ \sqrt{300} = 10\sqrt{3} $$

Simplify the expression \[ \sqrt{300} \]