Which of the following is a conjugate for 7 + 2i?
7 - 2i, -7 + 2i, 7 + 2i, -7 - 2i

Solution:

Given, complex number is: 

7 + 2i

A complex conjugate of a complex number is another complex number that has the same real part as the original complex number and the imaginary part has the same magnitude but opposite sign.

The product of a complex number and its complex conjugate is a real number.

The conjugate of z is denoted as z^-.

According to the concept, if a + ib is a complex number, then a - ib will be its complex conjugate.

For the number 7 + 2i, the complex conjugate number is 7 - 2i.

Therefore, the complex conjugate number is 7 - 2i.

Which of the following is a conjugate for 7 + 2i?

Summary:

For the number 7 + 2i, the complex conjugate number is 7 - 2i.