Question

An inequality is given. √a < √50 < √b The variables a and b are consecutive perfect squares. What are the values of a and b?​

Answer 1

Given:

The inequality is

$\sqrt{a}$         ...(i)

The variables a and b are consecutive perfect squares.

To find:

The values of a and b.

Solution:

We know that, perfect square of natural numbers are 1, 4, 9, 16, 25, 36, 49, 64, 81, 100, ...

Clearly, 50 lines between two consecutive perfect square 49 and 64.

$49$

$\sqrt{49}$        ...(ii)

On comparing (i) and (ii), we get

$a=49,b=64$

Therefore, the values of a and b are 49 and 64 respectively.