A) \[\frac{281\sqrt{3}}{9}\]
B) \[\frac{181\sqrt{3}}{3}\]
C) \[\frac{181\sqrt{3}}{9}\]
D) \[\frac{381\sqrt{3}}{9}\]
Correct Answer: C
Solution :
Expression \[=3\times \sqrt{147}-\frac{7}{3}\sqrt{\frac{1}{3}}-\sqrt{\frac{1}{27}}\] \[=3\sqrt{3\times 7\times 7}-\frac{7}{3\sqrt{3}}-\frac{1}{3\sqrt{3}}\] \[=21\sqrt{3}-\frac{7}{3\sqrt{3}}-\frac{1}{3\sqrt{3}}\] \[=\frac{63\times 3-7-1}{3\sqrt{3}}=\frac{189-8}{3\sqrt{3}}\] \[=\frac{181}{3\sqrt{3}}=\frac{181\sqrt{3}}{9}\]
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