Solve frac{4sqrt{6*2}}{14}

$$\frac{ 4 \sqrt{ 6 \times 2 } }{ 14 }$$

Evaluate

$$\frac{4\sqrt{3}}{7}\approx 0.989743319$$

Solution Steps

Multiply 6 and 2 to get 12.

$$\frac{4\sqrt{12}}{14}$$

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}.

$$\frac{4\times 2\sqrt{3}}{14}$$

Multiply 4 and 2 to get 8.

$$\frac{8\sqrt{3}}{14}$$

Divide 8\sqrt{3} by 14 to get \frac{4}{7}\sqrt{3}.

$$\frac{4}{7}\sqrt{3}$$