Question: what is the square root of 65 in simplest radical form?
Answer: The square roots of such numbers have a simple form of continued fraction expansion: √n2+1=[n;¯¯¯¯2n]=n+12n+12n+12n+12n+12n+12n+... So in our example: √65=[8;¯¯¯¯16]=8+116+116+116+116+116+116+...