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# Help!!

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For how many integers n is it true that $$\sqrt{n} \le \sqrt{4n - 6} < \sqrt{2n + 5}$$

Mar 31, 2020

1. Hi, I saw your question and wanted to try it. I suggest looking at a pair at a time. For example, trying evaluating $$\sqrt n<\sqrt {4n-6}$$ first and see what you get. You'll get a few inequalities that will give you an answer. And, obviously, $$n$$ must be nonnegative.