Find one rational and irrational number between 2 and 3?

1 Answer
MattyMatty
Apr 22, 2018

#5/2 " as rational number, and"#
#sqrt(5) " as irrational number."#

Explanation:

#"A rational number can be written as a fraction of two integers."#
#"So "5/2 = 2.5" satisfies."#
#"We know that the square roots of prime numbers are irrational"#
#"numbers, so "sqrt(5) = 2.236067..." satisfies as being irrational"#
#"and in the same interval ]2, 3[."#
#"More general, the square root of an integer that is not a perfect"#
#"square is irrational."#

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