Verified answer

1. [tex]\sqrt{0}=0\in\mathbb{Q}[/tex]

2. [tex]\sqrt{64}=8\in \mathbb{Q}[/tex]

3. [tex]\sqrt{34}=\sqrt{2\cdot17}\notin\mathbb{Q}\Rightarrow\sqrt{34}\in\mathbb{I}[/tex]

[tex]4.[/tex][tex]-\sqrt{254}=-\sqrt{2\cdot127}\notin\mathbb{Q}\Rightarrow-\sqrt{254}\in\mathbb{I}[/tex]

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[tex]\sqrt{34}[/tex], [tex]-\sqrt{254}[/tex]