i wanted to ask that rational numbers are in the form of p/q where q is not equal to zero. but we can write (root 2)/1. in this root 2 is p and 1 is q. q is not equal to zero. so<, it should be a rational number but always read in maths textbooks and vedio lessons of topperlearning that root 2 is irrational. why?

Asked by dev680jai | 10th May, 2017, 09:58: PM

Expert Answer:

Dear student, 
 
rational numbers are in the form of p/q where q is not equal to zero and p, q are integers.
(You have missed the complete definition student. I have bolded the missing part.
 
Since root 2 is not an integer, so it cannot be of that form. Hence, it is not a rational number.
 
So, remember, p and q have to be integers.

Answered by Rebecca Fernandes | 24th Nov, 2017, 12:43: PM