carcass wrote:

Of the following, which one is third greatest?

A) \(2 \sqrt{2} - 1\)

B) \(\sqrt{2} + 1\)

C) \(1 - \sqrt{2}\)

D) \(\sqrt{2} - 1\)

E) \(\sqrt{2}\)

There are total 5 entities. Third greatest is equivalent to thirst smallest.

So, the smallest one here is \(1 - \sqrt{2}\) which is -ve.

2nd smallest one is \(\sqrt{2} - 1\) which lies between (0,1)

3rd smallest is \(\sqrt{2}\) which lies between (1,2)

4th smallest is \(2 \sqrt{2} - 1\) which also lies between (1,2) but is greater than \(\sqrt{2}\)

5th smallest is \(\sqrt{2} + 1\)

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