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

a=49 b=64

Explanation:

The answer to this problem is a=49 b=64

Answer 2

Given:

The inequality is

`√(a)<√(50)<√(b)` ...(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<50<64`

`√(49)<√(50)<√(64)` ...(ii)

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

`a=49,b=64`

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