3 root 12 divided by 6 root 27

1.	3 root 12 divided by 6 root 27
Answer» Answer: $\frac{3\sqrt{12}}{6\sqrt{27}}=\frac{1}{3}$ Step-by-step EXPLANATION: Given Expression: $\frac{3\sqrt{12}}{6\sqrt{27}}$ We have to SIMPLIFY the given expression. first we simplify the √12 and √27 12 = 2 × 2 × 3 ⇒ √12 = 2√3 27 = 3 × 3 × 3 ⇒ √27 = 3√3 $\frac{3\sqrt{12}}{6\sqrt{27}}$ $=\frac{3\times2\sqrt{3}}{6\times3\sqrt{3}}$ $=\frac{1}{3}$ Therefore, $\frac{3\sqrt{12}}{6\sqrt{27}}=\frac{1}{3}$

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Answer:

$\frac{3\sqrt{12}}{6\sqrt{27}}=\frac{1}{3}$