Question

The conjugate complex of 2-i/(1-2i)2 is

is​

Answer 1

The conjugate of the complex $\frac{2-i}{(1-2i)2}$ is?

Conjugate is just the opposite value. Like a+ib's conjugate is a-ib.

Hence, first let us rationalize the denominator.

$\frac{2-i}{2-4i}$ = $\frac{(2-i) (2+4i)}{(2-4i)(2+4i)}$

= $\frac{4 +8i-2i-4i^{2} }{2^{2} - 16i^{2} }$

= $\frac{4+6i+4}{4+16}$

=$\frac{8+6i}{20}$

Take 2 common out

$\frac{4+3i}{10}$

Conjugate of that is 4-3i/10

Hope this helps.

Some food for thought

• Standard form of a complex number = a + ib
• Standard form of the conjugate of a complex number = a-ib