Solve 20sqrt{3}*30*cos(30)

$$20 \sqrt{ 3 } \times 30 \times \cos ( 30 )$$

Evaluate

$$900$$

Solution Steps

Multiply 20 and 30 to get 600.

$$600\sqrt{3}\cos(30)$$

Get the value of \cos(30) from trigonometric values table.

$$600\sqrt{3}\times \frac{\sqrt{3}}{2}$$

Cancel out 2, the greatest common factor in 600 and 2.

$$300\sqrt{3}\sqrt{3}$$

Multiply \sqrt{3} and \sqrt{3} to get 3.

$$300\times 3$$

Multiply 300 and 3 to get 900.

$$900$$