Explain irrational numbers and give examples

Explain irrational numbers and give examples

Any rational number can be expressed as the quotient of two integers such as 3.54894668 can be expressed as 354894668/100000000.0.3333333333... Equal to 1/3
An irrational number can be understood as a number that can not be expressed as a quotient of two integers but does exist
For example, if the square of x is 2, the solution of x will find that it is an infinite non-recurring decimal, which can not be expressed as the quotient of two integers, so it is an irrational number.
You'd better study the things in the books, these things will know when the time comes.

Prove √5 is irrational Same as above Yes √5 No √2 Prove √5 is an irrational number Same as above Yes √5 No √2

By using the main difference between rational number and irrational number, it can be proved that √5 is an irrational number. It can be proved that √5 is not an irrational number, but a rational number. Since √5 is a rational number, it must be written in the form of the ratio of two integers:√5=p/q and since p and q have no common factor to be reduced, it can be considered that p/q is a reduced fraction.