Find one rational and one irrational no between root3 androot5

Asked by dhamaka437 | 20th Sep, 2019, 12:06: PM

Expert Answer:

 
 
An irrational number between begin mathsize 16px style square root of 3 space space and space space square root of 5 space space is space space fraction numerator square root of 3 space space plus space space square root of 5 over denominator 2 end fraction. end style 
We know that,
 begin mathsize 16px style square root of 3 space space equals 1.732
square root of 5 space space equals space 2.236
rightwards double arrow square root of 3 space space less than space 1.8 space less than space square root of 5
rightwards double arrow square root of 3 space space less than space 18 over 10 space less than space square root of 5
18 over 10 space is space straight a space rational space number space between space square root of 3 space and space square root of 5. end style

Answered by Yasmeen Khan | 20th Sep, 2019, 04:48: PM