Question

Write the conjugates of the following complex numbers:
i) $-\sqrt{-5}$
ii) 5i
iii) $\sqrt{5}-i$

Answer 1

Answer:

i) 5i

ii) -5i

iii) √5 + i

Step-by-step explanation:

Hi,

If a + ib is any complex number such that a ∈R, b∈R

and i = √-1,

then the complex conjugate of a + ib is given by a - ib

i) Conjugate of -√-5 = -5i

So, using definition of conjugate of complex number,

conjugate of -5i is 5i = √-5

ii) Conjugate of 5i

So, using definition of conjugate of complex number,

conjugate of 5i is -5i

iii)Conjugate of √5 - i is

So, using definition of conjugate of complex number,

conjugate of √5 - i is √5 + i

Hope, it helps !

Answer 2

Step-by-step explanation:

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