Respuesta :

Answer:

2 + 6i

Step-by-step explanation:

It’s the same numbers with an opposite sign

The conjugate of 2 – 6i is 2 + 6i and the modulus is [tex]\sqrt{40}[/tex]

The conjugate of a complex number a + bi is a - bi. The conjugate is gotten by changing the sign of the imaginary part of the complex number.

The modulus of a complex number a + bi is:

|a + bi| = [tex]\sqrt{a^2+b^2}[/tex]

The conjugate and modulus of 2 – 6i is:

Conjugate of 2 - 6i = 2 + 6i

|2 - 6i| = [tex]\sqrt{2^2+(-6)^2}=\sqrt{40}[/tex]

The conjugate of 2 – 6i is 2 + 6i and the modulus is [tex]\sqrt{40}[/tex]

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