Is 196 perfect square or perfect cube?

Answer 1

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.