Question 974918
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You have


*[tex \LARGE \ \ \ \ \ \ \ \ \ \ \sigma_Z\ =\ \sqrt{\sigma_X\ +\ \sigma_Y}]


Square both sides and move things about:


*[tex \LARGE \ \ \ \ \ \ \ \ \ \ \ \sigma_Y\ =\ (\sigma_Z)^2\ -\ \sigma_X\]


I presuming from the way you worded the question that *[tex \Large \sigma_Z] and *[tex \Large \sigma_X] are givens.


John
*[tex \LARGE e^{i\pi}\ +\ 1\ =\ 0]
My calculator said it, I believe it, that settles it

*[tex \Large \ \
*[tex \LARGE \ \ \ \ \ \ \ \ \ \