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

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Answer 1 · 2015-09-13T18:40:10

$-8+3isqrt3$

$(2 + sqrt(-3))(-1+sqrt(-12))=>$ 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:

$-8+3isqrt3$