Solve frac{14sqrt{12}}{6}

$$\frac{ 14 \sqrt{ 12 } }{ 6 }$$

Evaluate

$$\frac{14\sqrt{3}}{3}\approx 8.082903769$$

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}.

$$\frac{14\times 2\sqrt{3}}{6}$$

Multiply 14 and 2 to get 28.

$$\frac{28\sqrt{3}}{6}$$

Divide 28\sqrt{3} by 6 to get \frac{14}{3}\sqrt{3}.

$$\frac{14}{3}\sqrt{3}$$