YES

(VAR x)
(RULES
  sqrt(0()) -> 0()
  +(0(),0()) -> 0()
  sqrt(+(i(x),x)) -> 0()
  i(0()) -> 0()
)

(COMMENT
Termination is shown by KBO with weight

  w0 = 1
  w(i) = 1
  w(0) = 1
  w(sqrt) = 1
  w(+) = 0

and precedence:

  i > sqrt > + > 0
)