# Which pair of complex numbers has a real number product

Posted By Admin @ September 03, 2022

#### Question:

Which pair of complex numbers has a real-number product?
(1 + 3i)(6i)
(1 + 3i)(2 – 3i)
(1 + 3i)(1 – 3i)
(1 + 3i)(3i)

we will proceed to verify each case to determine the solution

remember that

case A)

applying distributive property

------> is not a real number

therefore

the case A) is not a real number product

case B)

applying distributive property

------> is not a real number

therefore

the case B) is not a real number product

case C)

applying difference of square

------> is a real number

therefore

the case C) is  a real number product

case D)

applying distributive property

------> is not a real number

therefore

the case D) is not a real number product

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