The Collaborative International Dictionary of English v.0.48:

Appraise \Ap*praise"\, v. t. [imp. & p. p. Appraised; p. pr. &
   vb. n. Appraising.] [Pref. ad- + praise. See Praise,
   Price, Apprize, Appreciate.]
   1. To set a value; to estimate the worth of, particularly by
      persons appointed for the purpose; as, to appraise goods
      and chattels.
      [1913 Webster]

   2. To estimate; to conjecture.
      [1913 Webster]

            Enoch . . . appraised his weight.     --Tennyson.
      [1913 Webster]

   3. To praise; to commend. [Obs.] --R. Browning.
      [1913 Webster]

            Appraised the Lycian custom.          --Tennyson.
      [1913 Webster]

   Note: In the United States, this word is often pronounced,
         and sometimes written, apprize.
         [1913 Webster]

WordNet (r) 3.0 (2006):

appraise
    v 1: evaluate or estimate the nature, quality, ability, extent,
         or significance of; "I will have the family jewels
         appraised by a professional"; "access all the factors when
         taking a risk" [syn: measure, evaluate, valuate,
         assess, appraise, value]
    2: consider in a comprehensive way; "He appraised the situation
       carefully before acting" [syn: survey, appraise]

Moby Thesaurus II by Grady Ward, 1.0:

71 Moby Thesaurus words for "appraise":
   adjudge, appreciate, assay, assess, audit, calculate, calibrate,
   caliper, call, catalog, categorize, check a parameter, class,
   classify, compute, deem, dial, divide, esteem, estimate, evaluate,
   examine, factor, fair-trade, fathom, figure, form an estimate,
   gauge, give an appreciation, graduate, group, guess, identify,
   inspect, judge, make an estimation, mark, measure, mensurate, mete,
   meter, pace, plumb, price, prize, probe, quantify, quantize,
   quote a price, rank, rate, reckon, scrutinize, set at, sift, size,
   size up, sort, sort out, sound, span, step, survey, take a reading,
   thrash out, triangulate, valorize, valuate, value, weigh, winnow