How do you multiply polynomials #(sqrt(2x) - sqrt6)²#?

1 Answer
Alan P.
Oct 14, 2015

Use the distributive property and simplify, to get
#color(white)("XXX")2x-4sqrt(3x)+6#

Explanation:

#(sqrt(2x)-sqrt(6))^2#
#color(white)("XXX")=(color(red)(sqrt(2x)-sqrt(6)))*(color(blue)(sqrt(2x)-sqrt(6)))#

#color(white)("XXX")=color(red)(sqrt(2x))(color(blue)(sqrt(2x)-sqrt(6)))-color(red)(sqrt(6))(color(blue)(sqrt(2x)-sqrt(6)))#

#color(white)("XXX")=2x-sqrt(12x) -sqrt(12x)+6#

#color(white)("XXX")=2x-4sqrt(3x)+6#

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