cailynpark08
cailynpark08 cailynpark08
  • 29-11-2021
  • Mathematics
contestada

Make each denominator rational. In other words, rationalize the denominator.

Please please help! Thank you:)))

Make each denominator rational In other words rationalize the denominator Please please help Thank you class=

Respuesta :

lor067ewp lor067ewp
  • 29-11-2021

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]

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