Question

Write any two rational numbers between √2 and √3​

Answer 1

Answer:

1.5

Step-by-step explanation:

Root 3 = 1.732 Therefore a rational number between root 2 and root 3 is any number in between 1.414 and 1.732 whose decimal expansion is terminating or non terminating but recurring.

Hence the answer can be 1.5, which is a rational number.

Answer 2

Answer:

$\sf \: 1.5, \: 1.6$

Step-by-step explanation:

$\sf \: We \: know \: that:-$

$\sf \: \sqrt{2} = 1.414$

$\sf \: 1.414 < 1.5$

$\sf \: \sqrt{3} = 1.732$

$\sf \: 1.732 > 1.5$

$\sf \: So \: \sqrt{2} < 1.5 < \sqrt{3}$

By the same process:-

$\sf\sf \: 1.414 < 1.6$

$\sf \: 1.732 > 1.6$

$\sf \: So \: \sqrt{2} < 1.6 < \sqrt{3}$

$\sf \: Final \: Answers:- 1.5,1.6$