3375 is perfect cube? In case of perfect cube, find the number whose c

1.	3375 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, 3375 = 3 × 3 × 3 × 5 × 5 × 5 As we can group the above factors into three groups of cubes i.e. 3³, 5³ We express it as, 3³× 5³ = 15³ ∴ 3375 is a perfect cube.

3375 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,

3375 = 3 × 3 × 3 × 5 × 5 × 5

As we can group the above factors into three groups of cubes i.e. 3³, 5³

We express it as, 3³× 5³ = 15³

∴ 3375 is a perfect cube.