Which of the following is an irrational number between 5 and 7: 6–√, 12−−√, 27−−√, 36−−√?
2 answers
We have the following decimal approximations: $6-\sqrt{6}\approx 3.541$, $12-\sqrt{12}\approx 8.858$, $27-\sqrt{27}\approx 21.361$, and $36-\sqrt{36}=36-6=30$. Of these, $\boxed{30}$ is an integer and the others are clearly irrational.
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