Question

The number 72 is between what two perfect squares? Enter a numerical answer only.

Answer 1

64=8^2
81 = 9^2

72 is between what two perfect squares 64=8^2 and 81 = 9^2

Answer 2

Well a perfect square looks like this:

6 x 6
2 x 2

So the number 72 is between the PRODUCT of two perfect squares such as those.

One product has to be above 72, and the other below it.

So lets multiply.

8 x 8 = 64
9 x 9 = 81

Oh look at that, 72 is between 64 and 81.