square roots, pi
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The set of real numbers can be divided into rational numbers and irrational numbers.
All rational numbers including integers can be be expressed as fractions whereas irrational numbers can't be converted into fractions
All real numbers are irrational. For example, Pi is an irrational number that is a real number. Other irrational numbers can be the square root of an imperfect square.
A surd is a number expressed as a square root (or some other root). Such roots are usually irrational; but irrational numbers also include other numbers, which CAN'T be expressed as the root of a rational number. For example, pi and e.
yes * * * * * No. Rational and irrational numbers are two DISJOINT subsets of the real numbers. That is, no rational number is irrational and no irrational is rational.