5 root 8 + 2 root 32- 2 root 2 ?

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Answer 1 · 2018-04-15T15:55:52

#16sqrt2#

#5sqrt8+2sqrt32-2sqrt2---(1)#

we need to break the square roots up into their simplest forms

#sqrt8=sqrt(4xx2)=sqrt4sqrt2=2sqrt2#

#sqrt32=sqrt(16xx2)=sqrt16sqrt2=4sqrt2#

now substitute into #(1)#

#5(2sqrt2)+2(4sqrt2)-2sqrt2#

#=>10sqrt2+8sqrt2-2sqrt2#

#=16sqrt2#