Question

Rewrite the radicand as two factors, one of which is a perfect cube.

Answer 1

250=2*125
replace this in cuberoot

Answer 2

`\sqrt[3]{373248}=\sqrt[3]{18^(3)*64}\\`

Explanation:

A Perfect Cube is an integer number multiple of three that can be expressed as a product of prime factors raised to 3rd power. We have many Perfect Cubes, such as:

15³=3³x5³, and 15 ∈ ={1,3,6,9,12,15,18,..} so 15 is a perfect cube

18³=2³x3³x3³ and 18 ∈ ={1,3,6,9,12,15,18,..} so 18 is a perfect cube.

Finally, for instance, we can rewrite the number 373248 as

cubic root of 18³ times 64. 18 is a perfect cube 64 is not a perfect cube for 64 =
`2^(6)`