Simplify (frac{sqrt{3}}{sqrt{3} – 1} + frac{sqrt{3}}{sqrt{3} +1})
-
A.
(frac{1}{2}) -
B.
(frac{1}{2}sqrt{3}) -
C.
(3) -
D.
(2sqrt{3})
Correct Answer: Option C
Explanation
(frac{sqrt{3}}{sqrt{3} – 1} + frac{sqrt{3}}{sqrt{3} + 1})
= (frac{sqrt{3}(sqrt{3} + 1) + sqrt{3}(sqrt{3} – 1)}{(sqrt{3} – 1)(sqrt{3} + 1)})
= (frac{6}{3 – 1} )
= 3