Having trouble with this question, any help will be appreciated, thanks.

Let x be a positive number, with

Let

Show that , and that . Explain why this shows that there is no smallest positive number whoes square is more than 2.

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- November 7th 2010, 12:01 PMrlkmgproving question
Having trouble with this question, any help will be appreciated, thanks.

Let x be a positive number, with

Let

Show that , and that . Explain why this shows that there is no smallest positive number whoes square is more than 2. - November 7th 2010, 12:14 PMemakarov
Just do the claims in turn. To show that , show that . To show , calculate . I hope you can figure out the last part provided the rest is shown.