Two squared equals to three

Logic Level 3

TWO2=THREE\overline{\mathsf{TWO}}^2 = \overline{\mathsf{THREE}}

Solve the cryptarithm above and find the value of T+W+H+R\mathsf{T} + \mathsf{W} + \mathsf{H} + \mathsf{R}.

Details

  • T,W,H,RT,W,H,R are each distinct integers {0,9}\in \{0,\ldots9\}.
This problem is from my set Numbers in Disguise - Cryptarithms.
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