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.
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.
Find the factors of 89. Then put cancel out all of the factors that are perfect squares and put them outside of the root. Multiply the remaining factors under the root.