#### Question:

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Which pair of complex numbers has a real-number product?

(1 + 3i)(6i)

(1 + 3i)(2 – 3i)

(1 + 3i)(1 – 3i)

(1 + 3i)(3i)

Posted By Admin @ September 03, 2022

BEST ANSWER GETS A METAL!!!!

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

__the answer is__

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