Question

Please show steps!1​

Answer 1

`5\sqrt[3]{25}`

Explanation:

Let's factor to see if it's a perfect cube: 3 is a factor, so let's divide:
`1875:3 = 625`. 625 is no longer divisible by 3, but it is by 5, in particular it's
`5^4 = 625`. At this point we can start taking out of the cube root as much as we can:

`\sqrt[3]{1875} = \sqrt[3]{3* 5^4} = \sqrt[3]{3* 5* 5^3} = 5 \sqrt[3]{3*5} = 5\sqrt[3]{25}`