lolwut??
The base of a square pyramid is the only face that is a square - all the others are triangular in shape. So you do not need any measurements to determine which is the base.
All numbers have factors. Some factors are perfect squares. We call these perfect square factors. 9 is a perfect square factor of 27.
No.
It is a perfect square.
Yes, in so far as all numbers are squares (of some number). But it is not a perfect square.
200 is neither a perfect square nor a perfect cube. A perfect square is an integer that can be expressed as the square of another integer, and the prime factorization of 200 (2^3 × 5^2) does not allow for all exponents to be even. Similarly, for a perfect cube, the prime factorization requires all exponents to be multiples of three, which is also not the case for 200.
No, 8 is a multiple of 4 and NOT a perfect square.
No they have to have a polygon as a base.
No. 4/9 is not a perfect square but radical(4/9) = 2/3 is rational.
No. The square roots of perfect squares are rational.
No.
It is a rational number - as are ALL perfect squares.