Question

Which expression is equivalent to 3 square root 64k^12

Answer 1

Explanation:

alright, lets get started.

the given expression is :

`\sqrt[3]{64k^(12)}`

64 can be written as 4*4*4 or say
`4^(3)`

So, the expression will be :

`\sqrt[3]{4^(3)k^(12)}`

Now k^12 can be written as
`k^(4*3)`

So,

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

Taking cubic root

`4k^4` : answer

Hope it will help :)

Answer 2

`\sqrt[3]{64k^(12)} = \sqrt[3]{4^(3)}* \sqrt[3]{k^(12)} = 4k^(4)`