The conjugate of a complex number is obtained by changing the sign of the imaginary part. For the given complex number, 7i√2, we first identify its components:
- Real part: 0 (since there is no real component)
- Imaginary part: 7√2
To find the conjugate, we change the sign of the imaginary part, resulting in:
- Conjugate: 0 – 7i√2 or simply -7i√2
In summary, the conjugate of the complex number 7i√2 is -7i√2. This change is particularly useful in complex number operations, especially in division, as it helps in eliminating the imaginary unit from the denominator.