Which of the following is a conjugate for 7 + i square root of 2? 7 - i √ 2 or - 7 + i √ 2.

Solution:

The conjugate of a complex number, z, is its mirror image with respect to the horizontal axis (or x-axis). 

The conjugate of z is denoted by \(\bar{z}\).

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

Hence, for the complex number 7 + i square root of 2, the conjugate is 7 - i √ 2.

Which of the following is a conjugate for 7 + i square root of 2? 7 - i √ 2 or - 7 + i √ 2.

Summary:

7 - i √ 2 is the conjugate for 7 + i square root of 2.