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First one is : \(50.11111111........\) or \(50.\bar{1}\), As you know \(1\) is repeating, you can write it in \(p/q\) form or it is rational.. Second one is : \(-50/2\) or \(-25\), it is also rational. Third one : \(-50.1\), this can also be represented in \(p/q\) form, so rational. Fourth one is : \(\sqrt{50}= 5 \sqrt{2}\), oops it is not rational..
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