Simplify 2(sqrt{3}) – (frac{6}{sqrt{3}} + frac{3}{sqrt{27}})
-
A.
1 -
B.
(frac{1}{3}sqrt{3}) -
C.
2(sqrt{3} – 5frac{2}{3}) -
D.
6(sqrt{3}) – 17
Correct Answer: Option B
Explanation
2(sqrt{3}) – (frac{6}{sqrt{3}} + frac{3}{sqrt{27}})
= 2(sqrt{3} – frac{6}{sqrt{3}} + frac{3}{sqrt{9 times 3}})
= 2(sqrt{3} – frac{6}{sqrt{3}} times frac{sqrt{3}}{sqrt{3}} + frac{3}{3sqrt{3}})
= 2(sqrt{3} = 6 frac{sqrt{3}}{3} + frac{1}{sqrt{3}} times frac{sqrt{3}}{sqrt{3}})
= 2(sqrt{3} – 2sqrt{3} + frac{sqrt{3}}{3})
= (frac{sqrt{3}}{3} = frac{1}{3} sqrt{3})