Make each denominator rational. In other words, rationalize the denominator.
Please please help! Thank you:)))

Answer:
[tex]= 1 - \frac{\sqrt{11} }{11}[/tex]
Step-by-step explanation:
[tex]\frac{\sqrt{11} -1}{\sqrt{11}}[/tex]
= [tex]\frac{\sqrt{11} -1}{\sqrt{11} } (\frac{\sqrt{11} }{\sqrt{11} })[/tex]
= [tex]\sqrt{11} (\sqrt{11} ) - \sqrt{11} (1) /\sqrt{11} (\sqrt{11} )[/tex]
= [tex](\sqrt{121} -\sqrt{11}) /\sqrt{121}[/tex]
= [tex](11 - \sqrt{11} )/11[/tex]
= [tex]\frac{11}{11} -\frac{\sqrt{11} }{11}[/tex]
[tex]= 1 - \frac{\sqrt{11} }{11}[/tex]