find sqrt(1-i)

  • 23

ler z = (x+iy)2 = (1+i)

x2-y2+2xyi = 1-i

comparing real and imaginary parts both the sides

x2-y2 = 1 and 2xy = -1______(1)

Now, (x2+y2)2 = (x2-y2)2 +4x2y2

(x2+y2)2 = 1+1=2

x2+y2 = rt 2 _______(2)

solve eqn 1 and 2 and u will get ur ans

  • -49
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