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

2 Answers
Jun 8, 2017

Answer:

See a solution process below:

Explanation:

Factor the #sqrt(3)# out of each term to simplify:

#2sqrt(3) + 5sqrt(3) => (2 + 5)sqrt(3) = 7sqrt(3)#

Jun 8, 2017

Answer:

#7sqrt(3)#

Explanation:

In order to combine radicals, the indexes and radicands must math. I think of the radicand as a variable. #5x+3y# can't be combined, and neither can #5sqrt3+3qrt2#

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#2sqrt3 + 5sqrt3#

So, the indexes match and the radicands match, so we add the whole numbers:

#color(red)(2)sqrt3 + color(red)(5)sqrt3#

#7sqrt(3)#