Question

Which of the following gives an example of a set that is closed under multiplication? Choose all that apply.



A. The product of a perfect cube and a perfect cube
B. The product of 0 and 0
C. The product of a whole number and a whole number
D. The product of a perfect square and a perfect square

I think its b and c? help anyone..

Answer 1

D is also correct, when you multiply a perfect square by a perfect square, you always get a perfect square.

The same will be true for A, multiplying two perfect cubes.

Answer 2

So it's all of the above?

Answer 3

Yes.

Answer 4

The reason why D is correct, take a perfect square, x^2, and another perfect square, y^2, when you multiply them, you get x^2y^2 which is a perfect square, namely, xy.

Same reasoning for the perfect cubes.

Answer 5

HTH.