Solve frac{8sqrt{12}}{2}

$$\frac{ 8 \sqrt{ 12 } }{ 2 }$$

Evaluate

$$8\sqrt{3}\approx 13.856406461$$

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}.

$$\frac{8\times 2\sqrt{3}}{2}$$

Multiply 8 and 2 to get 16.

$$\frac{16\sqrt{3}}{2}$$

Divide 16\sqrt{3} by 2 to get 8\sqrt{3}.

$$8\sqrt{3}$$