8000 is perfect cube? In case of perfect cube, find the number whose c

1.	8000 is perfect cube? In case of perfect cube, find the number whose cube is the given number.
Answer» A perfect cube can be expressed as a product of three numbers of equal factors Now by resolving the given number into prime factors we get, 8000 = 2 × 2 × 2 × 2 × 2× 2 × 5 × 5 × 5 As we can group the above factors into three groups of cubes i.e. 2³, 2³, 5³ We express it as, 2³× 2³ × 5³= 20³ ∴ 8000 is a perfect cube.

8000 is perfect cube? In case of perfect cube, find the number whose cube is the given number.

Answer»

A perfect cube can be expressed as a product of three numbers of equal factors

Now by resolving the given number into prime factors we get,

8000 = 2 × 2 × 2 × 2 × 2× 2 × 5 × 5 × 5

As we can group the above factors into three groups of cubes i.e. 2³, 2³, 5³

We express it as, 2³× 2³ × 5³= 20³

∴ 8000 is a perfect cube.