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Posted 28 November 2013 - 08:27 PM
whats the smallest number that can be expressed as the sum of 3 squares in 3 unique ways
Posted 29 November 2013 - 06:29 PM
A bit cheating, but one candidate would be 125= 02 + 52 + 102 = 32 + 42 + 102 = 52 + 62 + 82
Posted 29 November 2013 - 06:45 PM
Posted 29 November 2013 - 06:47 PM
The answer depends whether you accept 0 as a square and whether you accept the same number twice.
Posted 29 November 2013 - 07:00 PM
Posted 02 December 2013 - 01:55 AM
@ BMAD, your solutions do not count, because sqrt(-25), sqrt(-100), sqrt(-9), etc. are not integers.
A square (number) is the square of an integer and is necessarily nonnegative.
@ Grimbal, it is not a question of whether someone accepts 0 as a square (number). It is a fact.
Square numbers are the squares of integers. The phrase "in 3 unique ways" is ambiguous.
Edited by Perhaps check it again, 02 December 2013 - 02:04 AM.
Posted 02 December 2013 - 02:30 AM Best Answer
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