Question

how many non perfect square numbers are there between 31^2 and33^2​

Answer 1

Answer:

126

Step-by-step explanation:

33*33=1089

31*31=961

1089-961=128

But this includes square of 33 and32

So 128-2=126

Answer 2

Answer:

62 non perfect square numbers are there between $31^2$ and $33^2$

Step-by-step explanation:

To find : How many non perfect square numbers are there between $31^2$ and $33^2$ ?

Solution :

The number of non square numbers between $n^2$ and $(n+1)^2$ is $2n$

Here,

n = 31

and n + 1 = 31+32

Number of natural numbers lie between $31^2$ and $33^2$ is given by,

$2n=2\times 31$

$2n=62$

Therefore, 62 non perfect square numbers are there between $31^2$ and $33^2$