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CBSE Class 11-science Answered

Find the square root of 1 - i 

Asked by ishirana2424 | 25 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 | 26 Aug, 2019, 10:16: AM
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