Question 64632
{{{(sqrt(27)/(2+sqrt(3)))}}}

{{{ (sqrt(27))(2-sqrt(3))/(2+sqrt(3))(2-sqrt(3)) )}}}
[multiply the denominator and the numerator by the conjugate]
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{{{ 3(sqrt(3))(2-sqrt(3))/(2+sqrt(3))(2-sqrt(3)) )}}} [simplify]
.

{{{ (6(sqrt(3)-3(3)))/((4-2sqrt(3)+2sqrt(3)-3)) ))}}}
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{{{ ((6(sqrt(3)-9)))/((4-3))) ))}}}
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{{{ ((6(sqrt(3)-9)))/((1))) ))}}}
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{{{( 6sqrt(3)-9 )}}}