How do you simplify #sqrt6+2sqrt6#?

1 Answer
Don't Memorise
Sep 4, 2015

#=color(blue)(-18#

Explanation:

#sqrt6+2sqrt6# can be simplified by multiplying the expression by its conjugate term which is #=color(blue)(sqrt6-2sqrt6#

#=(sqrt6+2sqrt6) * (color(blue)(sqrt6-2sqrt6))# , here we can apply the below property:
#(a+b)(a-b) = color(blue)((a^2-b^2)#

#=(sqrt6+2sqrt6) * (color(blue)(sqrt6-2sqrt6)) = (sqrt6)^2-(2sqrt6)^2#

#=6 -24#
#=color(blue)(-18#

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