Solution:
$$ \begin{aligned} & =0+[x]{1}^{\sqrt{2}}+2[x]{\sqrt{2}}^{1.5} \ & =(\sqrt{2}-1)+2(1.5-\sqrt{2}) \ & =\sqrt{2}-1+3-2 \sqrt{2} \ & =2-\sqrt{2} \end{aligned} $$
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