The value of
Question:

The value of $\frac{4 \sqrt{12}}{12 \sqrt{27}}$ is

(a) $\frac{1}{9}$

(b) $\frac{2}{9}$

(c) $\frac{4}{9}$

(d) $\frac{8}{9}$

 

Solution:

$\frac{4 \sqrt{12}}{12 \sqrt{27}}$

$=\frac{4 \sqrt{2 \times 2 \times 3}}{12 \sqrt{3 \times 3 \times 3}}$

$=\frac{4 \times 2 \sqrt{3}}{12 \times 3 \sqrt{3}}$

$=\frac{2}{9}$

Hence, the correct answer is option (b).

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