Question

Simplify

A) 6

B) 9

C) 12

D) 8

Answer 1

Answer: 9

Big Idea:

The ∛ sign indicates cube-rooting.

Step-by-step solution:

In order to solve this, we should take the cube root of 729.

`\sqrt[3]{729}=9}`

Therefore, the answer is B) 9.

`\dotfill`

Answer 2

Option B

Explanation:

Factor to find the simplification of this equation.

`\sqrt[3]{729}`
Factor:

`\sqrt[3]{729} =√(729) =9^3`
Now apply the radical rule where...

`\sqrt[n]{a^n} =a`

`\sqrt[3]{9^3} =9`

`=9`

Therefore your answer is option B or 9.

I hope this helps.