Answer :

Given, two numbers 56 and 57 we need to find out the numbers lie between the squares of the given numbers.

Now, we have numbers lie between the square of n and (n + 1) as 2n i.e 2 × base of first number.

⇒ Numbers between squares of 56 and (56 + 1) = 2 × 56

⇒112

Hence, 112 numbers lies between the square of the given numbers.

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