Question
What is the quotient of the following expression State the answer in simplest radical form rationalization of the denominator if necessary radical 49/121 what would the fraction be
Answers
GPT-4o mini
To find the quotient of \(\frac{\sqrt{49}}{\sqrt{121}}\), we first need to simplify both square roots:
\[
\sqrt{49} = 7
\]
\[
\sqrt{121} = 11
\]
Now, we can rewrite the fraction:
\[
\frac{\sqrt{49}}{\sqrt{121}} = \frac{7}{11}
\]
Since the fraction \(\frac{7}{11}\) is already in simplest form and the denominator is rational, we do not need to rationalize it further.
Thus, the final answer is:
\[
\frac{7}{11}
\]
\[
\sqrt{49} = 7
\]
\[
\sqrt{121} = 11
\]
Now, we can rewrite the fraction:
\[
\frac{\sqrt{49}}{\sqrt{121}} = \frac{7}{11}
\]
Since the fraction \(\frac{7}{11}\) is already in simplest form and the denominator is rational, we do not need to rationalize it further.
Thus, the final answer is:
\[
\frac{7}{11}
\]