Question

write a rational number between root 2 and root 3

Answer 1

√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.

Answer 2

Given that,

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

To find,

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

Solution,

Numbers that can be expressed in the form of $\dfrac{p}{q}$ where p and q are integers and q is not equal to 0 are called rational numbers.

We know that, $\sqrt{2} =1.41$ and $\sqrt{3} =1.73$

We need to find a rational number between $\sqrt{2}\ \text{and}\ \sqrt 3$ 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 $\sqrt{2}\ \text{and}\ \sqrt 3$ is 1.5.