Question

Simplify the following, make sure answer is in a+bi form:

Answer 1

√-1 = i
=(√12 - √-3)(3 + √-4)
=(√12-3i)(3+4i)
=3√12 + 4i√12 - 9i -12i²
=3(2√3) + 4i(2√3) - 9i - 12(-1)
=6√3 + 8i√3 - 9i +12
=12 + 6√3 - 9i + 8i√3
=6(2 + √3) - (9 + 8√3)i