How do you simplify open parentheses 5 plus square root of 3 close parentheses open parentheses 5 minus square root of 3 close parentheses?

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Answer 1 · 2018-03-05T01:38:05

22

#(5+sqrt3)(5-sqrt3)#

#=5(5-sqrt3)+sqrt3(5-sqrt3)#

#=25-5sqrt3+5sqrt3-3#

#=25-3#

#=22#

Note: given the identity that
#(x+y)(x-y)=x^2-y^2#

#(5+sqrt3)(5-sqrt3)#

#=5^2-(sqrt3)^2#

#=22#