Question on: WAEC Mathematics - 2010
Simplify 2(\sqrt{3}) - (\frac{6}{\sqrt{3}} + \frac{3}{\sqrt{27}})
A
1
B
\(\frac{1}{3}\sqrt{3}\)
C
2\(\sqrt{3} - 5\frac{2}{3}\)
D
6\(\sqrt{3}\) - 17
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Correct Option: B
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}{3\sqrt{3}})
= 2(\sqrt{3} = 6 \frac{\sqrt{3}}{3} + \frac{1}{\sqrt{3}} \times \frac{\sqrt{3}}{\sqrt{3}})
= 2(\sqrt{3} - 2\sqrt{3} + \frac{\sqrt{3}}{3})
= (\frac{\sqrt{3}}{3} = \frac{1}{3} \sqrt{3})
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