Find the square roots of the following: `-8- 6i`

Answer

`pm (1−3i)`

Explanation

Let the square root be `x+iy`.

`(x+iy)=−8−6i`
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Taking square on both the sides,

`x^2−y^2+2xyi=−8−6i`

By comparing we get

`x^2−y^2=8 and 2xy=−6`

`xy=−3`

`y=(−3)/x`​

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