Question

Express in simplest radical form.
start fraction, square root of, 300, end square root, divided by, 5, end fraction
5
300
​

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Answer
Attempt 1 out of 5

Answer 1

To simplify the expression \(\frac{\sqrt{300}}{5}\), we'll start by simplifying \(\sqrt{300}\).

1. First, let's factor \(300\):
\[
300 = 100 \times 3 = 10^2 \times 3
\]

2. Now we take the square root:
\[
\sqrt{300} = \sqrt{100 \times 3} = \sqrt{100} \times \sqrt{3} = 10\sqrt{3}
\]

3. Now substitute back into the original expression:
\[
\frac{\sqrt{300}}{5} = \frac{10\sqrt{3}}{5}
\]

4. Simplify the fraction:
\[
\frac{10\sqrt{3}}{5} = 2\sqrt{3}
\]

Thus, the simplest radical form is:
\[
\boxed{2\sqrt{3}}
\]