Algebra - find the square root.........

1

LET...√1-i=x+iy

sqquaring 4x⁴-4x²-1=0

solve to get +- {√[âˆš2+1]/2-√[âˆš2-1]/2}

49

i get x²-y²=1
and, 2xy=-1

these r the frst steps...[1][1][1][1]

1

after some steps i m getting

x²=√2+12

y²=√2-12

.....................what to do now.........this is becoming complicated

4

So u got x & y no

Now substitute them in x+iy

1

Let Z=√1-i Multiply nd divide by√ 2 convert it into polar form,apply de moivre's theorem Ans√(√2)*√cos pi/8-isin pi/8....???

find the square root.........