Question
simplify`\sqrt{\frac{9}{25}}`
Answers
GPT-4o mini
To simplify \(\sqrt{\frac{9}{25}}\), you can separate the square root of the numerator from the square root of the denominator:
\[
\sqrt{\frac{9}{25}} = \frac{\sqrt{9}}{\sqrt{25}}
\]
Now, calculate the square roots:
\[
\sqrt{9} = 3 \quad \text{and} \quad \sqrt{25} = 5
\]
So you have:
\[
\frac{\sqrt{9}}{\sqrt{25}} = \frac{3}{5}
\]
Therefore, the simplified form of \(\sqrt{\frac{9}{25}}\) is:
\[
\frac{3}{5}
\]
\[
\sqrt{\frac{9}{25}} = \frac{\sqrt{9}}{\sqrt{25}}
\]
Now, calculate the square roots:
\[
\sqrt{9} = 3 \quad \text{and} \quad \sqrt{25} = 5
\]
So you have:
\[
\frac{\sqrt{9}}{\sqrt{25}} = \frac{3}{5}
\]
Therefore, the simplified form of \(\sqrt{\frac{9}{25}}\) is:
\[
\frac{3}{5}
\]