Question

3 root 12 divided by 6 root 27

Answer 1

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

Answer 2

The value of  $\dfrac{3\sqrt{12}}{6\sqrt{27}}$ is $\dfrac{1}{3}$.

Step-by-step explanation:

We need to solve $\dfrac{3\sqrt{12}}{6\sqrt{27}}$. We know that :

12 = 2 × 3 × 2

27 = 3×3×3

So,

$\dfrac{3\sqrt{12}}{6\sqrt{27}}=\dfrac{3\sqrt{2\times 3\times 2} }{6\sqrt{3\times 3\times 3}}\\\\=\dfrac{6\sqrt{3} }{18\sqrt{ 3}}\\\\=\dfrac{6}{18}\\\\=\dfrac{1}{3}$

So, the value of  $\dfrac{3\sqrt{12}}{6\sqrt{27}}$ is $\dfrac{1}{3}$.

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Simplification

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