Solve 2*1-5*1*frac{1*sqrt{3}}{2}+2=

$$2 \cdot 1 - 5 \cdot 1 \cdot \frac { 1 \cdot \sqrt { 3 } } { 2 } + 2 =$$

Evaluate

$$-\frac{5\sqrt{3}}{2}+4\approx -0.330127019$$

Short Solution Steps

Multiply 2 and 1 to get 2.

$$2-1\times 5\times \frac{1\sqrt{3}}{2}+2$$

Multiply 1 and 5 to get 5.

$$2-5\times \frac{1\sqrt{3}}{2}+2$$

Express 5\times \frac{1\sqrt{3}}{2} as a single fraction.

$$2-\frac{5\times 1\sqrt{3}}{2}+2$$

Multiply 5 and 1 to get 5.

$$2-\frac{5\sqrt{3}}{2}+2$$

To add or subtract expressions, expand them to make their denominators the same. Multiply 2 times \frac{2}{2}.

$$\frac{2\times 2}{2}-\frac{5\sqrt{3}}{2}+2$$

Since \frac{2\times 2}{2} and \frac{5\sqrt{3}}{2} have the same denominator, subtract them by subtracting their numerators.

$$\frac{2\times 2-5\sqrt{3}}{2}+2$$

Do the multiplications in 2\times 2-5\sqrt{3}.

$$\frac{4-5\sqrt{3}}{2}+2$$

To add or subtract expressions, expand them to make their denominators the same. Multiply 2 times \frac{2}{2}.

$$\frac{4-5\sqrt{3}}{2}+\frac{2\times 2}{2}$$

Since \frac{4-5\sqrt{3}}{2} and \frac{2\times 2}{2} have the same denominator, add them by adding their numerators.

$$\frac{4-5\sqrt{3}+2\times 2}{2}$$

Do the multiplications in 4-5\sqrt{3}+2\times 2.

$$\frac{4-5\sqrt{3}+4}{2}$$

Do the calculations in 4-5\sqrt{3}+4.

$$\frac{8-5\sqrt{3}}{2}$$

Factor

$$\frac{8 - 5 \sqrt{3}}{2} = -0.33012701892219276$$