Solve (frac{44*28-38*29sqrt{3}}{2})*6*0.34

$$( \frac { 44 \times 28 - 38 \times 29 \sqrt { 3 } } { 2 } ) \times 6 \times 0.34$$

Evaluate

$$\frac{31416-28101\sqrt{3}}{25}\approx -690.25438974$$

Solution Steps

Multiply 0.34 and 6 to get 2.04.

$$2.04\times \frac{44\times 28-29\times 38\sqrt{3}}{2}$$

Multiply 44 and 28 to get 1232.

$$2.04\times \frac{1232-29\times 38\sqrt{3}}{2}$$

Multiply 29 and 38 to get 1102.

$$2.04\times \frac{1232-1102\sqrt{3}}{2}$$

Divide each term of 1232-1102\sqrt{3} by 2 to get 616-551\sqrt{3}.

$$2.04\left(616-551\sqrt{3}\right)$$

Use the distributive property to multiply 2.04 by 616-551\sqrt{3}.

$$1256.64-1124.04\sqrt{3}$$

Factor

$$\frac{51 {(616 - 551 \sqrt{3})}}{25} = -690.2543897397208$$