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 1394 views around the world You can reuse this answer Creative Commons License