Question

write down 2 rational number lying between root2 and root3​

Answer 1

Step-by-step explanation:

Hence the two rational numbers between √2 and √3 are 1.5 and 1.6 . Cleraly, a and b are rational numbers such that √2<a<b<3.

Answer 2

Answer:

Two rational numbers between √2 and √3 are  $\frac{3}{2} ,\frac{8}{5}$

Step-by-step explanation:

Given two irrational numbers √2 and √3

Required to find,

Two rational numbers between √2 and √3

Solution:

Rational numbers are the numbers which can be expressed in the form  $\frac{p}{q}$, where p and q are integers and q≠0

We know that the value of √2  = 1.414 and the value of √3 = 1.732

Rational numbers between √2 and √3 = Rational numbers between 1.414 and 1.732

Two rational numbers between 1.414 and 1.732 are 1.5 and 1.6

1.5 = $\frac{15}{10}$ = $\frac{3}{2}$

1.6 = $\frac{16}{10}$ = $\frac{8}{5}$

Hence two rational numbers between √2 and √3 are $\frac{3}{2} ,\frac{8}{5}$

#SPJ2