kgbdoubleokayli kgbdoubleokayli
  • 19-09-2019
  • Mathematics
contestada

PLEASE HELPRationalize the denominator and simplify.




[tex]\frac{5}{4-\sqrt{3} }[/tex]

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itzBaraa
itzBaraa itzBaraa
  • 19-09-2019

- Multiply by the conjugate [tex]\frac{4+ \sqrt{3} }{4+ \sqrt{3}}[/tex]

= [tex]\frac{5(4+\sqrt{3})}{(4-\sqrt{3})(4+\sqrt{3})}[/tex]

     [tex](4-\sqrt{3})(4+\sqrt{3})=13[/tex]

= [tex]\frac{5(4+\sqrt{3})}{13}[/tex]

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