Question

What is the cube root of 27a12

Answer 1

`3a^4`

Explanation:

Given expression is
`27a^(12)`.

Now we need to find the cube root of given expression
`27a^(12)`.

`\sqrt[3]{27a^(12)}`

`=\sqrt[3]{3*3*3a^(4*3)}`

`=\sqrt[3]{3^3\left(a^4\right)^3}`

`=\sqrt[3]{\left(3a^4\right)^3}`

Since cube root and cube are opposite operations of each other. So they will cancel each other.

`=3a^4`

Hence correct choice is the last choice
`3a^4`.