Question

How many numbers lie between squares of the numbers $12$ and $13$

Answer 1

Find the numbers that lie between the squares of the given number

The given numbers are $12$and $13$

Write the squares of $12,13$

$\Rightarrow {12}^2=144,{13}^2=169$

Subtract the squares of numbers

$\therefore 169-144=25$

Now subtract $1$ from the obtained result.

$\therefore 25-1=24$

Hence there are $24$ numbers between the squares of $12$ and $13$