# Mathematics Irrational numbers and Proof that Root 2 is irrational (Algebra)

An irrational number is a number that cannot be expressed as a fraction p/q for any integers p and q. Irrational numbers have decimal expansions that neither terminate nor become periodic. Every transcendental number is irrational.

There is no standard notation for the set of irrational numbers, but the notations Q^_, R-Q, or R\Q, where the bar, minus sign, or backslash indicates the set complement of the rational numbers Q over the reals R, could all be used.

The most famous irrational number is sqrt(2), sometimes called Pythagoras's constant. Legend has it that the Pythagorean philosopher Hippasus used geometric methods to demonstrate the irrationality of sqrt(2) while at sea and, upon notifying his comrades of his great discovery, was immediately thrown overboard by the fanatic Pythagoreans. Other examples include sqrt(3), e, pi, etc. The Erdős-Borwein constant

This session is dedicated to a separate category of Real Numbers that comprises of IRRATIONAL NUMBERS.

These numbers differ from rational numbers in a variety of ways and hence it's important to learn about them.

We have also showed the method to prove that square root of 2 is irrational.

All the individual videos can be seen here,

Mathematics | Real Numbers for Beginners

Mathematics Finding HCF using Euclid's Division Lemma in real numbers

Mathematics Decimal form of rational numbers - Real Numbers

Mathematics Find LCM Using Prime Factorization Method

Mathematics - Real Number - Finding Rational Numbers (Number system)

Math - Common math mistakes #1

Mathematics | Common math mistakes #2

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