The problem asks us to simplify the radical expression $\sqrt{300}$.

1. Problem Description

The problem asks us to simplify the radical expression $\sqrt{300}$.

2. Solution Steps

We need to find the prime factorization of

3

0

0.

$300 = 3 \times 100 = 3 \times 10 \times 10 = 3 \times 2 \times 5 \times 2 \times 5 = 2^2 \times 5^2 \times 3$.

So, $\sqrt{300} = \sqrt{2^2 \times 5^2 \times 3} = \sqrt{2^2} \times \sqrt{5^2} \times \sqrt{3} = 2 \times 5 \times \sqrt{3} = 10\sqrt{3}$.

$\sqrt{300} = \sqrt{100 \cdot 3} = \sqrt{100} \cdot \sqrt{3} = 10\sqrt{3}$

3. Final Answer

$10\sqrt{3}$