Respected teacher, how can we insert an irrational number between 2 and 2.5

 

Asked by spankaj.ekt | 11th Apr, 2019, 07:28: PM

Expert Answer:

If a and b are two positive number such that ab is not a perfect square of a rational number then begin mathsize 16px style square root of ab end style is an irrational number lying between a and b.
According to the question,
a = 2 and b = 2.5
begin mathsize 16px style square root of ab equals square root of 2 cross times 2.5 end root equals square root of 5 end style
which is an irrational number between 2 and 2.5

Answered by Sneha shidid | 12th Apr, 2019, 09:37: AM