How do you simplify #(5+sqrt3)(4-2sqrt 3)#?

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Answer 1 · 2016-09-15T03:42:42

#(5+sqrt3)(4-2sqrt 3)=14-6sqrt3#

#(5+sqrt3)(4-2sqrt 3)#

= #5(4-2sqrt 3)+sqrt3(4-2sqrt 3)#

= #20-5xx2sqrt3+sqrt3xx4-sqrt3xx2sqrt3#

= #20-10sqrt3+4sqrt3-2xx(sqrt3)^2#

= #20-6sqrt3-2xx3#

= #20--6sqrt3-6#

= #14-6sqrt3#