Answer: [tex]\frac{\sqrt{77}}{11}[/tex]
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Explanation:
Assuming you want to rationalize the denominator, we multiply top and bottom by sqrt(11) like so
[tex]x = \frac{\sqrt{7}}{\sqrt{11}}\\\\x = \frac{\sqrt{7}*\sqrt{11}}{\sqrt{11}*\sqrt{11}}\\\\x = \frac{\sqrt{7*11}}{\sqrt{11*11}}\\\\x = \frac{\sqrt{77}}{\sqrt{121}}\\\\x = \frac{\sqrt{77}}{11}\\\\[/tex]
In the third step, I used the rule that sqrt(A)*sqrt(B) = sqrt(A*B).
