Calculus Examples

$\frac{5}{2} + \frac{\sqrt{3}}{2} \cdot (- 7)$

Step 1

Simplify each term.

Tap for more steps...

Step 1.1

Combine $\frac{\sqrt{3}}{2}$ and $- 7$ .

$\frac{5}{2} + \frac{\sqrt{3} \cdot - 7}{2}$

Step 1.2

Move $- 7$ to the left of $\sqrt{3}$ .

$\frac{5}{2} + \frac{- 7 \sqrt{3}}{2}$

Step 1.3

Move the negative in front of the fraction.

$\frac{5}{2} - \frac{7 \sqrt{3}}{2}$

Step 2

Combine the numerators over the common denominator.

$\frac{5 - 7 \sqrt{3}}{2}$

Step 3

The result can be shown in multiple forms.

Exact Form:

$\frac{5 - 7 \sqrt{3}}{2}$

Decimal Form:

$- 3.56217782 \dots$