Find the square root of 1 - i 

Asked by ishirana2424 | 25th Aug, 2019, 09:07: AM

Expert Answer:

z = 1 - i 
begin mathsize 16px style square root of 1 plus straight i end root equals straight a plus bi end style
1 + i = (a + bi)2  
1 + i = a2 - b2 + 2abi    as i2 = -1
Comparing on both sides we get
a2 - b2 = 1 and 2ab = 1
Solving above equations you get square roots of 1 - i.
 

Answered by Sneha shidid | 26th Aug, 2019, 10:16: AM