Find the conjugates of the complex numbers $$\dfrac{ 1}{(3 + 5i)}$$

Asked by Aaryan | 1 year ago |  79

#### 1 Answer

##### Solution :-

Given:

$$\dfrac{1}{(3 + 5i)}$$

Since the given complex number is not in the standard form of (a + ib)

Let us convert to standard form by multiplying and dividing with (3 – 5i)

We get,

$$\dfrac{1}{(3 + 5i)}\times \dfrac{3-5i}{(3 - 5i)}$$

$$=\dfrac{3-5i}{34}$$

We know the conjugate of a complex number (a + ib) is (a – ib)

So,

The conjugate of $$=\dfrac{3-5i}{34}$$ is $$=\dfrac{3+5i}{34}$$

Answered by Aaryan | 1 year ago

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