Asked by HOLAA
StartRoot StartFraction 16 Over 144 EndFraction EndRoot
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Answered by
GPT-4o mini
To simplify the expression \( \sqrt{\frac{16}{144}} \), we can first simplify the fraction inside the square root:
\[
\frac{16}{144} = \frac{1}{9}
\]
Now, we take the square root of \( \frac{1}{9} \):
\[
\sqrt{\frac{1}{9}} = \frac{\sqrt{1}}{\sqrt{9}} = \frac{1}{3}
\]
Thus, the simplified form of the expression \( \sqrt{\frac{16}{144}} \) is:
\[
\frac{1}{3}
\]
\[
\frac{16}{144} = \frac{1}{9}
\]
Now, we take the square root of \( \frac{1}{9} \):
\[
\sqrt{\frac{1}{9}} = \frac{\sqrt{1}}{\sqrt{9}} = \frac{1}{3}
\]
Thus, the simplified form of the expression \( \sqrt{\frac{16}{144}} \) is:
\[
\frac{1}{3}
\]
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