What is (2 + square root of -3)(-1 + square root of -12)?

1 Answer
Sep 13, 2015

Answer:

#-8+3isqrt3#

Explanation:

#(2 + sqrt(-3))(-1+sqrt(-12))=># use:#i= sqrt(-1) =>#

where i by definition is the imaginary part of a complex number:

#= (2 + isqrt3)(-1 + isqrt12)=>#simplify #sqrt12#:

#= (2 + isqrt3)(-1 + 2isqrt3)=>#expand:

#-2 + 4isqrt3 -isqrt3+2i^2sqrt3^2=># simplify,note:#i^2 = -1#:

#-2 + 3isqrts3-6=>#simplify:

#-8+3isqrt3#