Bunuel wrote:
Which of the following is the correct ordering of \(2√13\), \(4√3\), \(5√2\) and \(3√6\) ?
A. \(2√13 < 3√6 < 5√2 < 4√3\)
B. \(3√6 < 5√2 < 4√3 < 2√13\)
C. \(4√3 < 5√2 < 2√13 < 3√6\)
D. \(5√2<4√3<3√6<2√13\)
E. \(2√13 < 3√6 < 4√3 < 5√2\)
We can square each number:
(2√13)^2 = 4 x 13 = 52
(4√3)^2 = 16 x 3 = 48
(5√2)^2 = 25 x 2 = 50
(3√6)^2 = 9 x 6 = 54
Since 48 < 50 < 52 < 54, then we know that 4√3 < 5√2 < 2√13 < 3√6.
Answer: C
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69% (01:18) correct 
