solubility Q from KAPLAN test

[Keroro]

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how many moles of AGIO3 (Ksp= 3.1x10^-8) will dissolve in one liter of 10^-5 M solution of NAIO3?



I know that

AGIO3 -> AG ion + IO3 ion
and since ksp = 3.1 x 10 ^-8 ,
3.1 x 10^-8 = x^2
x = sqr root of 3.1 x 10^-8



and we have 10^-5 M solution of NAIO3

NAIO3 -> NA ion + IO3 ion
(10^05M) (10^-5M) (10^-5M)


and since we added more IO3 , common ion effect will take place and this rxn will shift left..


but i don't know why answer is

(sqr root of 3.1x10^-8) - (10^-5M)



shouldn't it be

(10^-5M) - (sqr root of 3.1x10^-8) ?


thanx