How do you find the product of #-3 + sqrt(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 + bi# and its conjugate is always #a^2 + b^2#. In your case, #(-3)^2 + (sqrt(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)#? What is the geometric interpretation of multiplying two complex numbers? What is the product of #3+2i# and #1+7i#? How do I use DeMoivre's theorem to solve #z^3-1=0#? How do I find the product of two imaginary numbers? How do you simplify #(2+4i)(2-4i)#? How do you multiply #(-2-8i)(6+7i)#? See all questions in Multiplication of Complex Numbers Impact of this question 2724 views around the world You can reuse this answer Creative Commons License