> we mean numbers that can only we represented as compositions of periodic digits, or worse, transcendental numbers which lack even periodicity Every number th

> we mean numbers that can only we represented as compositions of periodic digits, or worse, transcendental numbers which lack even periodicity Every number that has periodicity in its decimals is rational... √2 doesn't have periodic decimals. Transcendental numbers are non algebraic numbers, ie. they are not the root of any non zero polynomial with rational coefficient. √2 is algebraic