Simplify ((sqrt2 + frac{1}{sqrt3})(sqrt2 – frac{1}{sqrt3}))
-
A.
(frac{7}{3}) -
B.
(frac{5}{3}) -
C.
(frac{5}{2}) -
D.
(frac{3}{2})
Correct Answer: Option B
Explanation
((sqrt2 + frac{1}{sqrt3})(sqrt2 – frac{1}{sqrt3}))
(sqrt4 – frac {sqrt2}{sqrt3} + frac {sqrt2}{sqrt3} – frac {1}{sqrt9})
= 2 – (frac {1}{3})
= (frac {16 – 1}{3})
= (frac{5}{3})