Princess Poly thinks that the product of (5+3i)(6−4i) gives a real number, which is written as 12+0i using the form a+bi.

Is she correct?

Yes, she is correct. The product is the real number 12+0i.
No, she is not correct. The product is an imaginary number, 0+40i.
No, she is not correct. The product is a real number, but it is 48+0i.
No, she is not correct. The product is a complex number, 42−2i.