Question

Find a rational number between

√5 and √7.​

Answer 1

There are infinite rational numbers between $\sqrt 5$ and √7

Solution:

Given that

The given rational numbers are $\sqrt 5$ and $\sqrt 7$.

$\sqrt 5$ =2.23

$\sqrt 7$ =2.64

So the rational numbers between $\sqrt 5$ and $\sqrt 7$ is infinite and there can be infinitely so many numbers are between the given roots.

Hence, the rational numbers between $\sqrt 5$ and $\sqrt 7$ are  infinite which will be like the following series

2.231, 2.232, 2.233, 2.234, 2.235, .... .... 2.45,…...etc.

Answer 2

There are infinite rational numbers between $\sqrt 5$ and √7

Solution:

Given that

The given rational numbers are $\sqrt 5$ and $\sqrt 7$.

$\sqrt 5$ =2.23

$\sqrt 7$ =2.64

So the rational numbers between $\sqrt 5$ and $\sqrt 7$ is infinite and there can be infinitely so many numbers are between the given roots.

Hence, the rational numbers between $\sqrt 5$ and $\sqrt 7$ are  infinite which will be like the following series

2.231, 2.232, 2.233, 2.234, 2.235, .... .... 2.45,…...etc.