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Broad Topics > Using, Applying and Reasoning about Mathematics > Theorem and contrapositive

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Contrary Logic

Age 16 to 18 Challenge Level:

Can you invert the logic to prove these statements?

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The Root Cause

Age 16 to 18 Challenge Level:

Prove that if a is a natural number and the square root of a is rational, then it is a square number (an integer n^2 for some integer n.)