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

We will use the concept of the conjugate of complex numbers in order to find the required answer.

## Answer: 7 - i **√** 2 is the conjugate for 7 + i square root of 2.

Let us see how we will use the concept of the conjugate of complex numbers in order to find the required answer.

**Explanation:**

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.

Math worksheets and

visual curriculum

visual curriculum