How do you simplify #5 sqrt 2 - 8 sqrt 2+ 2sqrt 18#?

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Answer 1 · 2018-05-09T23:53:09

#3sqrt2#

We can start by rewriting #sqrt18# as #sqrt(9*2)# which simplifies to #3sqrt2#. Thus, our new expression is

#5sqrt2-8sqrt2+2(3)sqrt2#

#=>5sqrt2-8sqrt2+6sqrt2#

All of the terms have a #sqrt2# in common, so I can factor that out to get

#sqrt2(5-8+6)#

#=>3sqrt2#

Hope this helps!