How do you simplify #(4+5sqrt3)^2#?
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1 Answer
Jan 26, 2017
Explanation:
Expand the binomial:
#(4+5sqrt3)^2#
#=(4+5sqrt3)(4+5sqrt3)#
Distributing (FOILing):
#=4(4)+4(5sqrt3)+(5sqrt3)4+(5sqrt3)5sqrt3#
#=16+20sqrt3+20sqrt3+25sqrt9#
#=16+40sqrt3+25(3)#
#=91+40sqrt3#
