# How do you simplify 4[sqrt3] + 2[sqrt 3] - 5[sqrt3]?

Mar 18, 2017

#### Answer:

$\sqrt{3}$

#### Explanation:

collect like terms - all the numbers are multiples of the radical $\sqrt{3}$.

in other words, use operations on the multiples of $\sqrt{3}$ and then multiply your answer by $\sqrt{3}$.

BIDMAS means that addition comes before subtraction, and therefore:

$4 + 2 - 5 = \left(4 + 2\right) - 5$
$= 6 - 5$
$= 1$

then multiply $1$ by $\sqrt{3}$

$1 \cdot \sqrt{3} = \sqrt{3}$