Solve -sqrt{2}*cos(pi/12)*sqrt{3}

$$- \sqrt { 2 } \times \cos ( \frac { \pi } { 12 } ) \times \sqrt { 3 }$$

Evaluate

$$-\frac{9659258262890683\sqrt{6}}{10000000000000000}\approx -2.366025404$$

Solution Steps

Evaluate trigonometric functions in the problem

$$-\sqrt{2} \cdot 0.9659258262890683 \cdot \sqrt{3}$$

Multiply 0.9659258262890683 and -1 to get -0.9659258262890683.

$$-0.9659258262890683\sqrt{2}\sqrt{3}$$

To multiply \sqrt{2} and \sqrt{3}, multiply the numbers under the square root.

$$-0.9659258262890683\sqrt{6}$$