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\(\large\bf{\sqrt{36}}\) contains 36, this number is a perfect square due to the fact it can be multiplied by 6 and 6 so this is rational. \(\large\bf{5.48..}\) is rational due to the fact a number repeats. \(\large\bf{8.23}\) is rational since it does not continue with different numbers and such. In the diagram \(\large\bf{\pi}\) is not rational so anything multiplied by \(\large\bf{\pi}\) is not rational. So \(\large\bf{4 \pi}\) is not rational. \(\large\bf{\sqrt{27}}\) is not rational due to the fact that it is not a perfect square.
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