Question #df084

1 Answer
Alan P.
Aug 12, 2015

#(6+sqrt(24)) + (-7-sqrt(54))#
#color(white)("XXXX")##color(white)("XXXX")##color(white)("XXXX")## = -1 -sqrt(6)#

Explanation:

#24 = 2*2^2*3#
#rArr##color(white)("XXXX")##sqrt(24) = 2sqrt(6)#

#54 = 2*3*3^2#
#rArr##color(white)("XXXX")##sqrt(54) = 3sqrt(6)#

#sqrt(24)-sqrt(54)#
#color(white)("XXXX")##=2sqrt(6)-3sqrt(6) = -sqrt(6)#

#(6+sqrt(24))+(-7-sqrt(54))#

#color(white)("XXXX")##=(6-7) + (sqrt(24)-sqrt(54))#

#color(white)("XXXX")##= -1 -sqrt(6)#

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