A rational number can be written as a fraction.
All whole numbers can be written as fractions ( 15 = 15/1)
A rational number can be written as a terminating decimal (1/5 = 0.2).
A rational number can be written as a repeating decimal (1/3 = 0.33333. . .; 8/9 - 0.88888 . . ). )
An irrational number cannot be written as a fraction.
Irrational numbers can be expressed as decimal numbers which are non-terminating and non-repeating (4.1356472. . . ).
Pi is an irrational number (3.14159265. . .).
Some square roots are rational (sq.root of 25 = 5); some square roots are irrational (sq.root of 3 = 1.732050807. . .)).
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