Question

What is an irrational number?

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Answer 1

Answer:

Any number which cannot be expressed in the form of a simple fraction is termed as an irrational number. The number cannot be expressed as p/q where p and q are integers and g 0 are known as irrational numbers. If we try to express an irrational number in decimal form then it is neither

terminating nor recurring. Examples 72, 3 the value of N=3.14159265358979...

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Answer 2

Answer:

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),