How do you simplify #2 sqrt 7+ 3 sqrt 7+ sqrt7#?

2 Answers
Feb 26, 2016

#6sqrt7#

Explanation:

Factor a #sqrt7# from each term.

#2sqrt7+3sqrt7+sqrt7=sqrt7(2+3+1)=sqrt7(6)=6sqrt7#

Note that this is similar to addition you have likely done in the past -- try replacing each #sqrt7# with a variable like #x#.

#2x+3x+x=6x#

Feb 26, 2016

6#sqrt7#

Explanation:

taking #sqrt7# common we have
given expression = #sqrt7(2+3+1)#
=#6sqrt7#