Question concerning dissociation, perhaps acid/base

[caxoo]

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H2SO4 dissociates to HSO4 + H like a strong acid, but the second proton barely does and acts like a weak acid

While something like...Ca(OH)2 dissociates completely to Ca + 2OH

Pardon me if this question sounds silly, but why the difference in the first case with the acid?

 

[chemtopper]

see the difference in bonding
in H2SO4 it is polar covalent bond
H is removed as H+ because of the high electronegativity of the O
however in Ca(OH)2 it is ionic compound and it is already present as Ca2+ and 2OH-