ExplanationThe range of a set of number is the difference between the highest and lowest number. Therefore, given that √2 = 1.4142, there are two possible ranges:

Possibility 1: 1 (low) to 5 (high) [5 − 1 = 4]

Possibility 2: −2.5858 (low) to 1.4142 (high) [1.4142 − 4 = −2.5858]

Since x > 0, possibility 2 is not an option. Thus, x = 5 or \(x^2 = 5\).

If x = 5, then \(x^2 = 25\) and the range is now 24 (25 − 1 = 24) so x cannot equal 5.

If \(x^2 = 5\), then \(x = \sqrt{5} = 2.236\).

Compare the quantities:

Quantity A: 2.236

Quantity B: 2

Hence option A is greater.
_________________

Sandy

If you found this post useful, please let me know by pressing the Kudos Button

Try our free Online GRE Test