Is 196 perfect square or perfect cube?
196's prime numbers are (2) (2) (7) (7).
For example, if you square those prime numbers you would get 14.
Why? Because u need equal integers within a square root, so that
you can take that integer outside the square root.
With the same knowledge, we can apply ask the question whether
196 is a cube root. If it's a cube root, then it needs to have 3
same integer (ex: 3x3x3x4x4x4x; 2x2x2x7x7x7). As you can see we
don't have third same integer. Also, even if it is 2x2x2x7x7, it
cannot be a cube root because it is missing the third 7.
So the answer is that 196 is a perfect square and not a perfect
cube.
Note: you cannot have a square root of a negative integer, if
the question is "is -196 a perfect square or a perfect cube", then
the answer is neither. Of course you can SQUARE the negative number
(ex: (-2)^2=+/- 4), but you cannot mathematically square root a
negative number unless your using the imaginary
integer "i".
I hope it answers your question and just a bit more.