##  [Modular Square Root Extraction](/index.php/modular-square-root-extraction) 

  ##  [Modular Square Root Extraction](https://puremath.quantumdictionary.io/modular-square-root-extraction-0) 

  

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- Mathematics & Logic -

**Pure Mathematics Dictionary**

 







 

 

 

 



 

 

 

 

Definition

The process of finding integers x satisfying x^2 ≡ a (mod n) when such solutions exist; i.e., extracting square roots in the ring Z/nZ or in its local factors when n is composite.