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}
