Is 0 a perfect square?

Question

Is 0 a perfect square?

I've searched the net but some say yes and some say no

If such a question comes out for Cambridge O-Level, which answer will they accept?

Answer 1

yes

Answer 2

For a non-negative integer n, the nth square number is n^2, with 0^2 = 0 being the zeroth square.

Answer 3

0 is not a number... all it is is a place holder to represent "nothing". Since 0 is nothing, it can't be anything... so it can't be a perfect square.



Think about it this way. If you have 8 apples and you take away 4 apples, can you make a perfect square out of the remaining apples? Of course you can, 2 and 2.



Now, if you have 8 apples and you take away 8 apples, can you make a perfect square out of the remaining apples? Of course you can't, because there is nothing to make a square out of.

Answer 4

nope...your calculator will give 0 square as 0 simply cos 0 is a null value

Answer 5

zero is a perfect square because square rooting it gives an integer - zero.

Answer 6

only natural numbers can be perfect numbers.

Answer 7

i dont think o-level will be anal enough to test you on 0s.



they would probably be more interested in other things.

Answer 8

no