Question

Express in simplest radical form.
start fraction, square root of, 20, end square root, divided by, 10, end fraction
10
20
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Answer
Attempt 8 out of 200

Submit Answer
square root of, end square root
x
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Answer 1

To simplify the expression \(\frac{\sqrt{20}}{10}\), follow these steps:

1. **Simplify \(\sqrt{20}\)**:
\[
\sqrt{20} = \sqrt{4 \times 5} = \sqrt{4} \times \sqrt{5} = 2\sqrt{5}
\]

2. **Substitute back into the expression**:
\[
\frac{\sqrt{20}}{10} = \frac{2\sqrt{5}}{10}
\]

3. **Simplify the fraction**:
\[
\frac{2\sqrt{5}}{10} = \frac{2}{10} \cdot \sqrt{5} = \frac{1}{5} \cdot \sqrt{5} = \frac{\sqrt{5}}{5}
\]

Thus, the expression in simplest radical form is:
\[
\frac{\sqrt{5}}{5}
\]