Given:
The inequality is
[tex]\sqrt{a}<\sqrt{50}<\sqrt{b}[/tex] ...(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.
[tex]49<50<64[/tex]
[tex]\sqrt{49}<\sqrt{50}<\sqrt{64}[/tex] ...(ii)
On comparing (i) and (ii), we get
[tex]a=49,b=64[/tex]
Therefore, the values of a and b are 49 and 64 respectively.
