Rationalize the denominator. Simplify the answer.

Question

squareroot 7/ squareroot 11

squareroot 7/ squareroot 11 = blank (Please type an exact answer using radicals as needed.)

Answer 1

To rationalize the denominator of the expression \(\frac{\sqrt{7}}{\sqrt{11}}\), we can multiply both the numerator and the denominator by \(\sqrt{11}\):

\[ \frac{\sqrt{7}}{\sqrt{11}} \cdot \frac{\sqrt{11}}{\sqrt{11}} = \frac{\sqrt{7} \cdot \sqrt{11}}{\sqrt{11} \cdot \sqrt{11}} \]

This simplifies to:

\[ \frac{\sqrt{77}}{11} \]

Thus, the final simplified answer is:

\[ \frac{\sqrt{77}}{11} \]