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

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Answer 1 · 2016-02-26T12:24:36

#6sqrt7#

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#

Answer 2 · 2016-02-26T12:24:42

6#sqrt7#

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