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
1662 views around the world
You can reuse this answer
Creative Commons License