Solve 1/2*(sqrt{80})*12

$$\frac{ 1 }{ 2 } \times ( \sqrt{ 80 } ) \times 12$$

Evaluate

$$24\sqrt{5}\approx 53.66563146$$

Solution Steps

Multiply 12 and \frac{1}{2} to get \frac{12}{2}.

$$\frac{12}{2}\sqrt{80}$$

Divide 12 by 2 to get 6.

$$6\sqrt{80}$$

Factor 80=4^{2}\times 5. Rewrite the square root of the product \sqrt{4^{2}\times 5} as the product of square roots \sqrt{4^{2}}\sqrt{5}. Take the square root of 4^{2}.

$$6\times 4\sqrt{5}$$

Multiply 6 and 4 to get 24.

$$24\sqrt{5}$$