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How do you multiply #(5+2sqrt6)(2+sqrt6)#?

1 Answer

Apr 7, 2015

In general
#(a+b)*(c+d) = (a+b)c + (a+b)d#

So we can re-write
#(5+2sqrt(6))(2+sqrt(6))#
as
#(5+2sqrt(6))(2) + (5+sqrt(6))(sqrt(6))#

#= (10 + 4sqrt(6)) + (5sqrt(6) + 6)#

#= 16 + 9sqrt(6)#

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