SOLUTION: The expression {{{2/(4-sqrt(3))}}} is equivalent to my work: {{{2/(4-sqrt(3))}}}*{{{(4+sqrt(3))/(4+sqrt(3))}}}={{{(6+2sqrt(3))/(16+3)}}} final answer: {{{(6+2sqrt(3))/19}}

Algebra ->  Complex Numbers Imaginary Numbers Solvers and Lesson  -> Lesson -> SOLUTION: The expression {{{2/(4-sqrt(3))}}} is equivalent to my work: {{{2/(4-sqrt(3))}}}*{{{(4+sqrt(3))/(4+sqrt(3))}}}={{{(6+2sqrt(3))/(16+3)}}} final answer: {{{(6+2sqrt(3))/19}}      Log On


   



Question 697480: The expression 2%2F%284-sqrt%283%29%29 is equivalent to
my work:
2%2F%284-sqrt%283%29%29*%284%2Bsqrt%283%29%29%2F%284%2Bsqrt%283%29%29=%286%2B2sqrt%283%29%29%2F%2816%2B3%29
final answer: %286%2B2sqrt%283%29%29%2F19
I'm not sure if my work is right.

Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
It should be 8 instead of 6. Also, it should be 16 - 3 to get 13 in the denominator.

So the answer should be %288%2B2sqrt%283%29%29%2F13