How do you find the product of -3 + sqrt(2i)−3+√2i and its conjugate? Precalculus Complex Numbers in Trigonometric Form Multiplication of Complex Numbers 1 Answer Douglas K. Oct 21, 2016 The product of any complex number, a + bia+bi and its conjugate is always a^2 + b^2a2+b2. In your case, (-3)^2 + (sqrt(2))^2 = 11(−3)2+(√2)2=11 Answer link Related questions How do I multiply complex numbers? How do I multiply complex numbers in polar form? What is the formula for multiplying complex numbers in trigonometric form? How do I use the modulus and argument to square (1+i)(1+i)? What is the geometric interpretation of multiplying two complex numbers? What is the product of 3+2i3+2i and 1+7i1+7i? How do I use DeMoivre's theorem to solve z^3-1=0z3−1=0? How do I find the product of two imaginary numbers? How do you simplify (2+4i)(2-4i)(2+4i)(2−4i)? How do you multiply (-2-8i)(6+7i)(−2−8i)(6+7i)? See all questions in Multiplication of Complex Numbers Impact of this question 3296 views around the world You can reuse this answer Creative Commons License