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can you pls tell how to find rational numbers between √2  and √3

Asked by seeni2005 19th June 2016, 9:02 AM
Answered by Expert
Answer:
begin mathsize 12px style square root of 2 space is space approximately space 1.4
and space square root of 3 space is space approximately space 1.7
Therefore comma space the space rational space numbers space between space square root of 2 space and space square root of 3 space will space be space 1.5 comma space 1.55 comma space 1.56 comma space 1.6 comma space etc.
1.5 space equals space 15 over 10 equals 3 over 2
1.55 space equals space 155 over 100 equals 31 over 20
1.56 space equals space 156 over 100 equals 39 over 25
1.6 space equals space 16 over 10 equals 8 over 5
So comma space 3 over 2 comma space 31 over 20 comma space 39 over 25 comma space 8 over 5 comma space etc. space are space all space rational space numbers.
end style
Answered by Expert 19th June 2016, 12:35 PM
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