lisapressley2001
lisapressley2001 lisapressley2001
  • 03-01-2017
  • Mathematics
contestada

6. Rationalize the denominator and simplify. 2+√3/5-√3

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dexteright02
dexteright02 dexteright02
  • 03-01-2017
[tex] \frac{2+ \sqrt{3} }{5- \sqrt{3} } = ? [/tex]
[tex] \frac{2+ \sqrt{3} }{5- \sqrt{3} }* \frac{5+ \sqrt{3}}{5+ \sqrt{3}} =[/tex]
[tex] \frac{(2+ \sqrt{3})*(5+ \sqrt{3}) }{(5- \sqrt{3})*(5+ \sqrt{3} )} =[/tex]
[tex] \frac{10+2 \sqrt{3}+5 \sqrt{3}+ \sqrt{3} ^{2} }{25+5 \sqrt{3}-5 \sqrt{3} -\sqrt{3} ^{2} } =[/tex]
[tex]\frac{10+7 \sqrt{3}+3}{25-3} =[/tex]
[tex] \boxed{\frac{13+7 \sqrt{3}}{22} or13,55110708...}[/tex]
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