Prove that there exists a pair of consecutive integers such that one of these integers is a perfect square
and the other is a perfect cube.

:

         2^3 = 8

         3^2 = 9

Hense proved

2 and 3 are consecutive

56.6

step-by-step explanation:

the ratio of the perimeters is equal to the scale.

the ratio of the areas is equal to the square of the scale.

34 / 20 = k

a / 19.6 = k²

substituting:

a / 19.6 = (34 / 20)²

a = 19.6 (34 / 20)²

a ≈ 56.6

560

step-by-step explanation:

giggidy