National Council of Teachers of Mathematics
The Math Forum: Ask Dr. Math: Rational Numbers and Square Ro
Math Forum response to which numbers, other than squared positive integers, can be simplified as rational numbers.
National Council of Teachers of Mathematics
The Math Forum: Ask Dr. Math: Rational and Irrational Number
Math Forum response to the size of the set of rational numbers. Responses investigate the countability of sets and basic set theory.
National Council of Teachers of Mathematics
The Math Forum: Ask Dr. Math: Counting Rationals and Integer
Math Forum response providing a proof that there are as many rational numbers as integers.
National Council of Teachers of Mathematics
The Math Forum: Ask Dr. Math: Square Roots and Irrational Numbers
Math Forum response to whether square roots of all non-perfect squares are irrational. Contains a proof showing that such cases are, indeed, irrational.
National Council of Teachers of Mathematics
The Math Forum: Ask Dr. Math: Irrational Numbers; Rational Square Roots
Dr. Math responds to how one can tell whether a number is rational or irrational. A proof is discussed in the response.