How do you rationalize the denominator and simplify $(3 + sqrt(3) )/ (4-2sqrt(3))$ ?

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Answer 1 · 2017-03-21T05:34:08

$(9+5sqrt3)/2$

You would multiply each term of the fraction by $4+2sqrt3$ :

$((3+sqrt3)(4+2sqrt3))/((4-2sqrt3)(4+2sqrt3)$

$(12+6sqrt3+4sqrt3+6)/(16-12)$

$(18+10sqrt3)/4$

$(9+5sqrt3)/2$

How do you rationalize the denominator and simplify (3 + sqrt(3) )/ (4-2sqrt(3))(3 + sqrt(3) )/ (4-2sqrt(3))?