Question

Find a rational number between √2 and √3
step by step solve​

Answer 1

Answer:

the rational number between √2 and √3

√2 = 1.414.

√3= 1.732.

So, a rational number between those two would be 1.5 (3/2). But there are several more, in fact, infinite number of rational numbers between √2 and √3.

Step-by-step explanation:

hope it helps you ❣️

Answer 2

Answer:

Given that,

Two numbers, \sqrt{2}\ \text{and}\ \sqrt 3

2

and

3

.

To find,

A rational number between \sqrt{2}\ \text{and}\ \sqrt 3

2

and

3

.

Solution,

Numbers that can be expressed in the form of \dfrac{p}{q}

q

p

where p and q are integers and q is not equal to 0 are called rational numbers.

We know that, \sqrt{2} =1.41

2

=1.41 and \sqrt{3} =1.73

3

=1.73

We need to find a rational number between \sqrt{2}\ \text{and}\ \sqrt 3

2

and

3

it means that we need to find a number between 1.41 and 1.73.

So, it is very clear that a number between 1.41 and 1.73 is 1.5.

So, a rational number between \sqrt{2}\ \text{and}\ \sqrt 3

2

and

3

is 1.5.