Abstract: Let Ｄ be a positive integer which is not a perfect square,and let α＝（ｕ＋ｖ〖ＫＦ（〗Ｄ〖ＫＦ）〗）２,where （ｕ，ｖ）　is positive integer solution of the Pell equation ｕ２－Ｄｖ２＝１.It is proved that,for any positive integer ｎ，[αｎ]　is an odd integer and [αｎ]＋３ is a perfect square,where [αｎ] is the integral part of　αｎ.

Key words: real quadratic field, unit, power, integral part