Question

"Show that 216 is a perfect cube. find the number whose cube is 216"

Answer 1

Answer:

"

Step-by-step explanation:

Resolving 216 into prime factors, we get:

216 = 2 × 2 × 2 × 3 × 3× 3

=

$= (2 \times 3) \times (2 \times 3) \times (2 \times 3) = (6 \times 6 \times 6) = {6}^{3}$

thus, 216 is a perfect cube.

And 6 is the number whose cube is 216"

Answer 2

Resolving 216 into prime factors, we get:

216 = 2 × 2 × 2 × 3 × 3× 3

=

= (2 \times 3) \times (2 \times 3) \times (2 \times 3) = (6 \times 6 \times 6) = {6}^{3}=(2×3)×(2×3)×(2×3)=(6×6×6)=6

3

thus, 216 is a perfect cube.

And 6 is the number whose cube is 216"