How do you simplify #2/(5- sqrt3)#?
1 Answer
Feb 18, 2016
Multiply by the conjugate surd of the denominator.
#frac{2}{5-sqrt3} = frac{5+sqrt3}{11}#
Explanation:
The conjugate surd of
#frac{2}{5-sqrt3} = frac{2}{5-sqrt3}*frac{5+sqrt3}{5+sqrt3}#
#= frac{2(5+sqrt3)}{(5)^2-(sqrt3)^2}#
#= frac{2(5+sqrt3)}{25-3}#
#= frac{2(5+sqrt3)}{22}#
#= frac{5+sqrt3}{11}#
