How do you simplify: #(5 -sqrt(6))(2 - sqrt(6))#?

1 Answer
Alan P.
Jul 16, 2015

#(5-sqrt(6))(2-sqrt(6))#
#color(white)("XXXX")##color(white)("XXXX")##color(white)("XXXX")##= 16-7sqrt(6)#

Explanation:

#(color(red)(5)-color(blue)(sqrt(6)))*(2-sqrt(6))#

#color(white)("XXXX")##= color(red)(5)(2-sqrt(6)) - color(blue)(sqrt(6))(2-sqrt(6))#

#color(white)("XXXX")##= color(red)(10 - 5sqrt(6)) - (color(blue)(2sqrt(6) -6))#

#color(white)("XXXX")##=16 -7sqrt(6)#

Related questions
See all questions in Simplification of Radical Expressions
Impact of this question
1453 views around the world
You can reuse this answer
Creative Commons License