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Simplify 2 $\sqrt{3}$ - \(\frac{6}{\sqrt{3}} + \frac{3}{\sq...

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

View answer & explanation

Correct answer is 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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