Question

How many non-square numbers are there between 576 and 625

Answer 1

infinite if fractions included if only integers 0

Answer 2

Number of non-squares$1152$

Step-by-step explanation:

Given,

Non-square numbers are there between $576$ and $625$

Since $576$ and $625$ are two consecutive integers,

All the numbers between squares of $576$ and $625$ are non-perfect squares.

$576^{2} =331776$ and $625^{2} =390625$

Number of numbers between $331776$ and $390625$

$=390625-331776-1=58848$

So there are $58848$ non-perfect squares.

When number of non-squares are asked between two consecutive numbers, It is always ($2\times$smaller number).In this case, smaller number is $576$. 

So, Number of non-squares$=2\times 576=1152$