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How to solve a Leontief Production function?

Short Run Cost Minimisation problem: \begin{eqnarray*} \min_{l\geq 0} & \ wl +rk \\ \text{s.t. } & y\leq \min(\sqrt{l},\sqrt{k}) \end{eqnarray*} where $y\geq 0$, $k\geq 0$, $w>0$, $r>0$ ...
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How to solve a Leontief Production function?

I'll solve the Cost-Minimization and Profit-Maximization problems for the Leontief Production Function in the Long Run Solution: Here we are given the production as, $$y=f(l,k)=min\{l^{0.5},k^{0.5}\}$$...
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