Solve #(6+sqrt3)(1+2sqrt3)#?

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Answer 1 · 2018-04-12T14:59:45

#12 + 13sqrt(3)#

You'll need to FOIL out this problem.

#(6 xx 2sqrt3) + (6 xx1)#

#(sqrt3 xx 1) + ( sqrt3 xx 2sqrt3 )#

Simplify them

#(12sqrt3) + (6)#

#(sqrt3) + (6)#

Combine like terms.

Answer 2 · 2018-04-12T15:02:58

#12+13sqrt3#

#(6+sqrt3)(1+2sqrt3)#

#=6(1) + 1sqrt3 + 6(2sqrt3) + 2sqrt3sqrt3#

#=6 + 1sqrt3 + 12sqrt3 + 6#

#=color(red)(12 + 13sqrt3) = 34.5166604... #

Answer 3 · 2018-04-13T10:54:54

#12+13sqrt3#

Expand out each term:

#6 xx 1=6#

#6 xx 2sqrt3=12sqrt3#

#sqrt3 xx 1=sqrt3#

#sqrt3 xx 2sqrt3=2sqrt9 -> 2 xx 3=6#

Adding like terms:

#6+12sqrt3+sqrt3+6 -> 12+13sqrt3 #