Question

Simplify: Problem is attached.

Answer 1

Here are the choices:

Answer 2

Well, think about how else √16 can be written?

try √8√2 right? because √8 times √2 is the same as √16

so now we have

\[3\sqrt[3]{8}\sqrt[3]{2}\]

how can that be simplified?

*hint what is the cubed root of 8?

Answer 3

above...where I put √8√2 and √16...those should all be CUBED roots, not square roots....all the rest is the same

Answer 4

8^3 = 192?

Answer 5

not quite....

Cubed root, is not the same as "to the 3rd power"

*example* Cubed root of 27...is 3....definitely different from 27^3 right?

so what is the CUBED ROOT of 8?

*what times itself 3 times = 8?

Answer 6

2? @johnweldon1993

Answer 7

correct!....so now you have

(3) times (2) times CUBED ROOT of 2

so what is 3 times 2?

Answer 8

6

Answer 9

so you'll have
\[6\sqrt[3]{2}\]

looks a lot like answer choice 2

Answer 10

Cool, again you have made this very easy to understand. Thanks :)

Answer 11

no problem! :)