Question

What is ∛2197? Explain how you got your answer.

Answer 1

13

Explanation:

We need to write our answer in exponential form. Ask yourself the question, "What times itself 3 times will give you 2197?" Your answer is
`13^(3)`. This will go inside of your cube root. You now have
`\sqrt[3]{13^(3) }`. Since there's a power of 3 and a cube root, those cancel each other out, and your answer is 13.

Answer 2

`\boxed{13}`

Explanation:

=>
`\sqrt[3]{2197}`

Factorizing 2197 gives 13 * 13 * 13

=>
`\sqrt[3]{13*13*13}`

=>
`\sqrt[3]{13^3}`

We know that
`\sqrt[3]{} = ^(1/3)`

=>
`13^(3 * 1/3)`

=>
`13^1`

=> 13