Solve 4sqrt{2}7*(-1/2sqrt{3})

$$4 \sqrt { 2 } 7 \times ( - \frac { 1 } { 2 } \sqrt { 3 } )$$

Evaluate

$$-14\sqrt{6}\approx -34.292856399$$

Solution Steps

Multiply 4 and 7 to get 28.

$$28\sqrt{2}\left(-\frac{1}{2}\right)\sqrt{3}$$

Express 28\left(-\frac{1}{2}\right) as a single fraction.

$$\frac{28\left(-1\right)}{2}\sqrt{2}\sqrt{3}$$

Multiply 28 and -1 to get -28.

$$\frac{-28}{2}\sqrt{2}\sqrt{3}$$

Divide -28 by 2 to get -14.

$$-14\sqrt{2}\sqrt{3}$$

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

$$-14\sqrt{6}$$