How do you simplify (2 + square root of -3)(-1 + square root of -12)? Algebra Radicals and Geometry Connections Multiplication and Division of Radicals 1 Answer VinÃcius Ferraz Sep 19, 2015 #-8 + 3i sqrt 3# Explanation: #(2 + i sqrt 3)(-1 + i sqrt 12)# #= -2 + 2i sqrt 12 - i sqrt 3 - sqrt 36# #= -2 -6 + i(2 * 2 sqrt 3 - sqrt 3)# Answer link Related questions How do you simplify #\frac{2}{\sqrt{3}}#? How do you multiply and divide radicals? How do you rationalize the denominator? What is Multiplication and Division of Radicals? How do you simplify #7/(""^3sqrt(5)#? How do you multiply #(sqrt(a) +sqrt(b))(sqrt(a)-sqrt(b))#? How do you rationalize the denominator for #\frac{2x}{\sqrt{5}x}#? Do you always have to rationalize the denominator? How do you simplify #sqrt(5)sqrt(15)#? How do you simplify #(7sqrt(13) + 2sqrt(6))(2sqrt(3)+3sqrt(6))#? See all questions in Multiplication and Division of Radicals Impact of this question 1171 views around the world You can reuse this answer Creative Commons License