Question

`\sqrt{\frac{9}{25}}`

simplify and show answer in fraction form

Answers

GPT-4o mini
To simplify the expression \(\sqrt{\frac{9}{25}}\), we can take the square root of the numerator and the square root of the denominator separately:

\[
\sqrt{\frac{9}{25}} = \frac{\sqrt{9}}{\sqrt{25}}
\]

Calculating the square roots:

\(\sqrt{9} = 3\) and \(\sqrt{25} = 5\).

So, we have:

\[
\frac{\sqrt{9}}{\sqrt{25}} = \frac{3}{5}
\]

Thus, the simplified form of \(\sqrt{\frac{9}{25}}\) is:

\[
\frac{3}{5}
\]