How do you simplify the cubed root of (25/16)?

Question

anonymous · Answer

You wouldn't. Are you sure that isn't the squared root of?

$$\sqrt{\frac{ 25 }{ 16 }}$$

?

anonymous · Answer

I wish it was... D: I get $$\sqrt[3]{25}/2\sqrt[3]{2}$$ but it's not one of the answer choices and I don't know what to do from there.

anonymous · Answer

What are the other choices?

anonymous · Answer

$$\sqrt[3]{25}/4$$
$$4/\sqrt[3]{100}$$
$$\sqrt[3]{100}/4$$
$$5/4$$

anonymous · Answer

Okay. I get what they did.

You have:

$$\sqrt[3]{\frac{ 25 }{ 16 }}$$

If you take that fraction and multiply the top and bottom by 4 you receive:

$$\sqrt[3]{\frac{ 100 }{ 64 }} $$

Now then, the cubed root of 64 is 4.

So you get 100^(1/3) over 4 or choice C.

anonymous · Answer

Oh I see now~ Thank you so much :)

anonymous · Answer

It isn't really simplification. It is "can you play around with numbers and get something equivalent."