# Square root of 65 lies between which two numbers (not more than one decimal point)?

Square root of $65$ lies between $8.0$ and $8.1$.
Squares of natural numbers are $\left\{1 , 4 , 9 , 16 , 25 , 36 , 49 , 64 , 81 , \ldots\right\}$, which are squares of $\left\{1 , 2 , 3 , 4 , 5 , 6 , 7 , 8 , 9 , \ldots .\right\}$
As $65$ lies between $64$ and $81$, square root of $65$ lies between $8$ and $9$
Further, ${8.1}^{2} = 65.61$ and as ${8.0}^{2} = 64$, square root of $65$ lies between $8.0$ and $8.1$.