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

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Answer 1 · 2015-10-31T15:39:25

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.

Answer 2 · 2015-10-31T15:41:07

#sqrt3#

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.

#4sqrt3 + 2sqrt3 - 5sqrt3#

#=> 6sqrt3 - 5sqrt3#

#=> sqrt3#