Question

Find a rational number between root 2 and root 7

Answer 1

Answer:

Step-by-step explanation:

2 < 4 < 7

then

root(2) < root(4) < root(7)

then

root(2) < 2 < root(7).

thus 2 is a rational number between root(2) and root(7).

Answer 2

Answer:

2

Step-by-step explanation:

A rational number can be expressed as  fraction p/q, where numerator p and a non-zero denominator q are integers.

First choose a number between 2 and 7 which is a perfect square. ( we choose a perfect square because root is given in the question).

So, we choose 4 as root 4 is +-2.

          =>     2 < 4 < 7

Taking root with all the numbers

               root 2 <  root 4 <  root 7

                     root 2 <  2 <  root 7

Therefore, 2 is a rational number between root(2) and root(7).