Solve 2*5+3cos(30)=

$$2 \times 5+3 \cos ( 30 ) =$$

Evaluate

$$\frac{3\sqrt{3}}{2}+10\approx 12.598076211$$

Short Solution Steps

Multiply 2 and 5 to get 10.

$$10+3\cos(30)$$

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

$$10+3\times \frac{\sqrt{3}}{2}$$

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

$$10+\frac{3\sqrt{3}}{2}$$

To add or subtract expressions, expand them to make their denominators the same. Multiply 10 times \frac{2}{2}.

$$\frac{10\times 2}{2}+\frac{3\sqrt{3}}{2}$$

Since \frac{10\times 2}{2} and \frac{3\sqrt{3}}{2} have the same denominator, add them by adding their numerators.

$$\frac{10\times 2+3\sqrt{3}}{2}$$

Do the multiplications in 10\times 2+3\sqrt{3}.

$$\frac{20+3\sqrt{3}}{2}$$