# How do you evaluate 2\sqrt { 3} - 2\sqrt { 3} - 4\sqrt { 3} + 5?

Apr 13, 2017

See the solution process below:

#### Explanation:

Factor $\sqrt{3}$ from the first three terms:

$\left(2 - 2 - 4\right) \sqrt{3} + 5$

$- 4 \sqrt{3} + 5$

If you want to eliminate the radical $\sqrt{3} = \pm 1.732$ rounded to the nearest thousandth.

Solution 1)

$\left(- 4 \cdot 1.732\right) + 5$

$- 6.928 + 5$

$- 1.928$

Solution 2)

$\left(- 4 \cdot - 1.732\right) + 5$

$6.928 + 5$

$11.928$