Solve 2sqrt{12}*4/

$$2 \sqrt{ 12 } \times \frac{ 4 }{ }$$

Evaluate

$$16\sqrt{3}\approx 27.712812921$$

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}.

$$2\times 2\sqrt{3}\times \frac{4}{1}$$

Multiply 2 and 2 to get 4.

$$4\sqrt{3}\times \frac{4}{1}$$

Anything divided by one gives itself.

$$4\sqrt{3}\times 4$$

Multiply 4 and 4 to get 16.

$$16\sqrt{3}$$