Question

conjugate of 2-i/(1-2i)

Answer 1

here, 
 (2 - i )/( 1 -2i)² 
⇒ (2 - i)/(1 +4i² - 4i)
⇒ ( 2 - i)/(1 - 4 - 4i)
⇒ (i -2)/(3 + 4i)
⇒(i -2)(3 -4i)/(3 +4i)(3 - 4i)
⇒(3i - 6 +4 +8i)/(9 + 16)
⇒(-2 + 11i)/25 

hence (2 -i)/(1 -2i)² in the form of a +bi is -2/25 + 11/25i 
so, conjugate of -2/25 + 11/25i is -2/25 - 11/25i 

hence, conjugate of given complex no is -2/25 -11/25i