First, we need to find the likelihood function. Given the pdf:
$$
f(x;\theta) = \begin{cases}
2x/\theta^2, & x > 0 \\
0, & x < 0
\end{cases}
$$
The likelihood function for the sample $X_1, X_2, \dots, X_n$ is:
$$
L(\theta) = \prod_{i=1}^n f(x_i;\theta) =
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