Insert six irrational numbers between 2 and 2.5
-
Subject:
English -
Author:
alisamullen -
Created:
1 year ago
Answers 1
Answer:
First Method
The two irrational numbers between 2 and 2.5 can be taken as
2.101001000100001......
and 2.201001000100001.......
Second Method
Note: If a and b are two distinct positive rational numbers such that ab is not a perfect square of a rational number, then square root of ab is an irrational number lying between a and b.
∴ An irrational number between 2 and 2.5
equals square root of 2 cross times left parenthesis 2.5 right parenthesis end root equals square root of 5
Similarly, an irrational number between 2 and square root of 5
equals square root of 2 square root of 5 end root
∴ Two irrational numbers between 2 and 2.5 are square root of 5 and square root of 2 square root of 5. end root
Explanation:
was this helpful?
-
Author:
itchya0el
-
Rate an answer:
3