Solve sqrt{12}*6*4

$$\sqrt { 12 } \times 6 \times 4$$

Evaluate

$$48\sqrt{3}\approx 83.138438763$$

Solution Steps

Multiply 4 and 6 to get 24.

$$24\sqrt{12}$$

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}.

$$24\times 2\sqrt{3}$$

Multiply 24 and 2 to get 48.

$$48\sqrt{3}$$