Solve =frac{2sqrt{12}}{12}

$$= \frac { 2 \sqrt { 12 } } { 12 }$$

Evaluate

$$\frac{\sqrt{3}}{3}\approx 0.577350269$$

Solution Steps

Factor 12=2^{2}\times 3. Rewrite the square root of the product \sqrt{2^{2}\times 3} as the product of square roots \sqrt{2^{2}}\sqrt{3}. Take the square root of 2^{2}.

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

Multiply 2 and 2 to get 4.

$$\frac{4\sqrt{3}}{12}$$

Divide 4\sqrt{3} by 12 to get \frac{1}{3}\sqrt{3}.

$$\frac{1}{3}\sqrt{3}$$