I need help with a long Radical equation all i need to simplify it all the way down, can anyone help me?

Question

anonymous · Answer

$$9 \sqrt[4]{10} + 2 \sqrt[3]{10} -6 \sqrt[4]{10} -6 \sqrt[3]{10}$$

zehanz · Answer

This expression has no common factors.
What we can do, is add/subtract like terms: there are two terms with $\sqrt[4]{10}$ and two terms with $\sqrt[3]{10}$, so they can be written as one...

Begin with writing it as: 

$(9\sqrt[4]{10}-6\sqrt[4]{10})+(2\sqrt[3]{10}-6\sqrt[3]{10})$, now simplify.

anonymous · Answer

Oh, so now foil?

zehanz · Answer

No, there is nothing to FOIL, the brackets are there to help you see the two different types of radicals.

What is $9\sqrt[4]{10}-6\sqrt[4]{10}$  ?

anonymous · Answer

$$3\sqrt[4]{10}$$

zehanz · Answer

Right!. Now the other;  what will that be?

anonymous · Answer

$$-4\sqrt[3]{10}$$

zehanz · Answer

Right again! So you have these two amounts of different kind of radicals: 

$3\sqrt[4]{10}-4\sqrt[3]{10}$. 

So that's it! You're done!

anonymous · Answer

AWesome THanks mane your a huge help!

zehanz · Answer

YW!