MathDB

1

Part of 1997 Tuymaada Olympiad

Problems(1)

4 numbers, product of 3 is perfect square, prove all 4 are perfect squares

Source: Tuymaada 1997 p1

4/28/2019
The product of any three of these four natural numbers is a perfect square. Prove that these numbers themselves are perfect squares.
number theoryProductPerfect SquaresPerfect Square