Question

Question #f956d

Answer 1

No.

Explanation:

`2^2=4` and `3^2 = 9` but neither `9+4=13` nor `9-4=5` is a perfect square.

Answer 2

Let's have a look.

Explanation:

Actually matters.

Let us take few cases:`rarr`

(1). Square of even numbers.

`(2n)^2+(2n+2)^2`

`=5n^2+4n+4`.

This is not a perfect square.

Example `rarr`

`2^2+4^2`

`=4+16`

`=20`

`=4sqrt(5)`.

(2). Square of odd numbers.

`(2n+1)^2+(2n+3)^2`

`=8n^2+16n+10`.

This is not a perfect square.

Example `rarr`

`1^2+3^2`

`=1+9`

`=10`

(3). Square of even & odd numbers.

`(2n)^2+(2n+1)^2`

`=8n^2+4n+1`

This is not a perfect square.

Example `rarr`

`1^2+2^2`

`=1+4`

`=5`

But there are certain cases when, the third condition gets satisfied.

In certain cases, sum of squares of an even & an odd number turns to be a perfect square.

For example `rarr`

`3^2+4^2`

`=9+16`

`=25`

`=5^2`.

So, it does matter.

Hope it Helps:)