Question

find the rational number between root 5and root 7
$find \: the \: rational \: number \: between \: \sqrt{5and \sqrt{7 \\ } }$
​

Answer 1

Answer:

$Answer$

There are infinite rational numbers between \sqrt 5

5

and √7

Solution:

Given that

The given rational numbers are \sqrt 5

5

and \sqrt 7

7

.

\sqrt 5

5

=2.23

\sqrt 7

7

=2.64

So the rational numbers between \sqrt 5

5

and \sqrt 7

7

is infinite and there can be infinitely so many numbers are between the given roots.

Hence, the rational numbers between \sqrt 5

5

and \sqrt 7

7

are infinite which will be like the following series

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