Simplify (frac{sqrt{3} + sqrt{48}}{sqrt{6}})
-
A.
(3sqrt{2}) -
B.
(5sqrt{2}) -
C.
(frac{5sqrt{2}}{2}) -
D.
(frac{3sqrt{2}}{2})
Correct Answer: Option C
Explanation
(frac{sqrt{3} + sqrt{48}}{sqrt{6}} = frac{sqrt{3} + 4sqrt{3}}{sqrt{6}})
(frac{5sqrt{3}}{sqrt{6} = frac{5sqrt{3} times sqrt{6}}{sqrt{6} times sqrt{6}})
(frac{5sqrt{18}{6} = frac{15sqrt{2}}{6})
= (frac{5sqrt{2}}{2})