sqrt(2) = positive or negative 1.414 (rounded)
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2½ ie 2 to the power of one-half. The power "one-half" applied to any value signifies that value's square root. Do not confuse with the power "-1" which indicates the reciprocal of the given value.
144-1/2 = 0.00347
1/4 (1/2) squared = 1/2 x 1/2 = 1/4