An algebraic number raised to the power of a number with this property is transcendental according to the Gelfond-Schneider theorem. The value of the Riemann zeta function at 
An algebraic number raised to the power of a number with this property is transcendental according to the Gelfond-Schneider theorem. The value of the Riemann zeta function at three, Apery's constant, has this property, though it has not yet been proven for the Euler-Mascheroni constant. Their quadratic type has periodic continued fractions. The fact that the square of an even number must be divisible by four is invoked in the proof that this property is possessed by the square root of two. For 10 points, name these objects which cannot be represented as one integer over another.
An algebraic number raised to the power of a number with this property is transcendental according to the Gelfond-Schneider theorem.
{irrational} numbers