How do you simplify #3 sqrt 24-2sqrt6#?

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Answer 1 · 2016-05-25T12:16:55

#4sqrt(6)#

Notice that 6 is a common factor to 6 and 24

Write as#" "3sqrt(4xx6)-2sqrt(6)#

#3sqrt(2^2xx6)-2sqrt(6)#

#3xx2sqrt(6)-2sqrt(6)#

#6sqrt(6)-2sqrt(6)#

Think of #" "6a-2a=4a#

Then by using the same principle

#6sqrt(6)-2sqrt(6)" "=" " 4sqrt(6)#