Question

Simplify the expression below you must show all work to receive full credit

Answer 1

8w^2 I don't know why it is not on here, but I put it in an algebra calculator and everything. Good luck. :)

Explanation:

Simply the radicals by multiplying and taking square roots.

2
`\sqrt[4]{8w^3}` *
`\sqrt[4]{32w^5}`

= 2
`\sqrt[4]{8w^3}` *2w
`\sqrt[4]{2w}`

= 4w
`\sqrt[4]{16w^4}`

=4w(2w)

=
`8w^(2)`

Answer 2

Answer: Uhm... None of the options seem to be correct. The answer is:
`8w^2`

Explanation:

`2\sqrt[4]{8w^3}*\sqrt[4]{32w^5}`

This is the same as;

`2\sqrt[4]{(8w^3)(32w^5)}`

`2\sqrt[4]{256w^8}`

`2\sqrt[4]{4^4w^8}`

`2*4\sqrt[4]{w^8}\\ 8\sqrt[4]{w^8}\\8w^2`