Question
`\sqrt{\frac{9}{25}}`
simplify and show answer in fraction form
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:
\[
\frac{3}{5}
\]
\[
\sqrt{\frac{9}{25}} = \frac{\sqrt{9}}{\sqrt{25}}
\]
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:
\[
\frac{3}{5}
\]