# How do you simplify 4sqrt3+2sqrt3-5sqrt3?

Oct 31, 2015

Here,
you can easily subtract or add the terms as they all have $\sqrt{3}$ .
It is like a variable, like let $\sqrt{3}$ = x

So it goes,

= 4x+2x-5x
= 6x -5x
= x
=$\sqrt{3}$

you don't actually have to suppose but, you can add or subtract any terms containing same values under root.

Oct 31, 2015

$\sqrt{3}$

#### Explanation:

Treat the radicals like variables, we can only add/subtract those of the same variable and degree

In the case of the question, all the involved radicals are the same.
So we can proceed to adding/subtracting them.

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

$\implies 6 \sqrt{3} - 5 \sqrt{3}$

$\implies \sqrt{3}$