Do we have to sort them after squaring?
Algebra
Level
pending
If are three numbers arranged in ascending order, then is it true that are also in ascending order?
Yes, always
No, not necessarily
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1 solution
The statement would hold if a , b , c were positive numbers. But it does not hold for negative numbers. For example, if a = − 3 , b = − 2 and c = − 1 then a , b , c are indeed arranged in ascending order but a 2 = 9 , b 2 = 4 , c 2 = 1 are in descending order.