9261 is perfect cube? In case of perfect cube, find the number whose c

1.	9261 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 = 3 × 3 × 3 × 7 × 7× 7 As we can group the above factors into three groups of cubes i.e. 3³, 7³ We express it as, 3³× 7³ = 21³ ∴ 9261 is a perfect cube.

9261 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 = 3 × 3 × 3 × 7 × 7× 7

As we can group the above factors into three groups of cubes i.e. 3³, 7³

We express it as, 3³× 7³ = 21³

∴ 9261 is a perfect cube.