What is the product of 6+5i and 4+7i? Enter your answer, in standard form, in the box. ______

Question

What is the product of 6+5i and 4+7i?

Enter your answer, in standard form, in the box.
______

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    0
    2021-11-23T20:40:13+00:00

    Answer:  The required product is -11+62i.

    Step-by-step explanation:  We are given to find the product of the following two complex numbers :

    z_1=6+5i,~~~z_2=4+7i.

    We will be using the following property :

    (a+b)(c+d)=a(c+d)+b(c+d).

    Also, we will use the fact that i=\sqrt{-1},~~i^2=-1.

    The product of the given complex numbers is

    z_1z_2\\\\=(6+5i)(4+7i)\\\\=6(4+7i)+5i(4+7i)\\\\=24+42i+20i+35i^2\\\\=24+62i-35\\\\=-11+62i.

    Thus, the required product is -11+62i.

    0
    2021-11-23T20:40:14+00:00

    The answer to this question is the product is 12i

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