Step 1: Understanding the rate law.
The rate equation for the given reaction is:
\[
\frac{dx}{dt} = k[H]^{1/2}[B]^{1/2}
\]
To determine the order of the reaction, we add the exponents of the reactant concentrations:
\[
\text{Order} = 1/2 + 1/2 = 1
\]
The total order of the reaction is 1. Hence, the correct answer is (C).
Step 2: Conclusion.
The order of the reaction is \( \frac{3}{2} \).