Question

Find out how many non-perfect square
numbers lie between the squares of the
following numbers:
(a) 57 and 58
(b) 15 and 16​

Answer 1

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 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.