How do you rationalize the denominator $(4sqrt3+2)/(2sqrt3+1)$ ?

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Answer 1 · 2015-06-07T04:10:36

By rationalizing the denominator.

$(2(2sqrt3 + 1))/(2sqrt3 + 1).(2sqrt3 - 1)/(2sqrt3 - 1)$ =

$= (2(12 - 1))/(12 - 1) =$ 2

By simplification:

$(2(2sqrt3 + 1))/(2sqrt3 + 1) = 2$

How do you rationalize the denominator (4sqrt3+2)/(2sqrt3+1)(4sqrt3+2)/(2sqrt3+1)?