Integer square root

<p>In <a href="/facts/Number_theory/zhoa7zrc">number theory</a>, the integer square root (isqrt) of a <a href="/facts/Non-negative_integer/u65og8JE">non-negative integer</a> n is the non-negative integer m which is the <a href="/facts/Floor_function/ssehyMMf">greatest integer less than or equal</a> to the <a href="/facts/Square_root/AfrzfBdQ">square root</a> of n,

isqrt
        ⁡
        (
        n
        )
        =
        ⌊
        
          
            n
          
        
        ⌋
        .
      
    
    {\displaystyle \operatorname {isqrt} (n)=\lfloor {\sqrt {n}}\rfloor .}

</p><p>For example, 
  
    
      
        isqrt
        ⁡
        (
        27
        )
        =
        ⌊
        
          
            27
          
        
        ⌋
        =
        ⌊
        5.19615242270663...
        ⌋
        =
        5.
      
    
    {\displaystyle \operatorname {isqrt} (27)=\lfloor {\sqrt {27}}\rfloor =\lfloor 5.19615242270663...\rfloor =5.}

</p>

Integer square root open-in-new

Integer square root