Question

How many numbers lie between the square of the given numbers: $56$ and $57$

Answer 1

Given, two numbers 56 and 57 we need to find out the numbers lie between the squares of the given numbers.
Now, we have $\text{numbers lying between the square of n and (n + 1) is 2n}$
⇒ Numbers between squares of 56 and (56 + 1) = 2 × 56 = 112
Hence, 112 numbers lies between the square of the given numbers.