Can you help me simplify this expression?

Question

anonymous · Answer

$$3\sqrt[3]{375}$$

geerky42 · Answer

Try to factor 375

anonymous · Answer

1 3 5 15 25 75 125 375

anonymous · Answer

@geerky42

anonymous · Answer

@Hero can you please help me through this equation? Thank you

hero · Answer

Try to find the highest cube that is a factor of 375

anonymous · Answer

Would it be 3 and 125?

hero · Answer

Correct

anonymous · Answer

Okay so 
$$3\sqrt[3]{125*3}$$
what would I do next?

hero · Answer

Apply the rule
$\sqrt[n]{ab} = \sqrt[n]{a}\sqrt[n]{b}$

anonymous · Answer

$$3 * \sqrt[3]{125} \sqrt[3]{3}$$

right?

anonymous · Answer

@Hero

hero · Answer

Yes

anonymous · Answer

So whats next?

anonymous · Answer

$$3 * (5\sqrt{5}) $$

+ 

$$3 *(\sqrt{3})$$

correct?

@Hero

anonymous · Answer

@Australopithecus could you finish what hero started?

hero · Answer

What does $\sqrt[3]{125}$ simplify to?

anonymous · Answer

$$5\sqrt[3]{5}$$

hero · Answer

$\sqrt[3]{125} = 5$

Why? Because $5^3 = (5)(5)(5) = 125$

anonymous · Answer

Okay.

anonymous · Answer

so what about the next one? @Hero

anonymous · Answer

@texaschic101 @Australopithecus

anonymous · Answer

@OrangeMaster can you help me

anonymous · Answer

I don't know, sorry.

australopithecus · Answer

What single number times its self 3 times multiplies to 375?

australopithecus · Answer

You should also be aware that of this rule,

$$\sqrt[3]{x} = \sqrt[3]{ab} = \sqrt[3]{a}\sqrt[3]{b}$$

where a*b = x

break the problem up into smaller numbers and then it will be easier to simplify

australopithecus · Answer

This is about as much as anyone can help you with this problem