what is the simplest form of the radical expression?
3^3sqrt2a-6^3sqrt2a

Question

what is the simplest form of the radical expression?
3^3sqrt2a-6^3sqrt2a

solomonzelman · Answer

$$3\sqrt[3]{2a}+6\sqrt[3]{2a}$$this?

anonymous · Answer

yes!

solomonzelman · Answer

$$3a+6a=9a$$$$3\sqrt[3]{2a}+6\sqrt[3]{2a}=~?$$

anonymous · Answer

is that what is simplified or are you asking me what it equals?

solomonzelman · Answer

I am asking you how would you simplify it, knowing that$$3x+6x~~~~->~~~~9x$$$$3\sqrt[3]{2a}+6\sqrt[3]{2a}~~~~~~->~~~~~?$$

solomonzelman · Answer

This is just adding like terms.

anonymous · Answer

ooh so would i add 2a + 2a and get 4a?
since 2a and 2a are like terms

nikato · Answer

No, when ur adding roots, u like what's inside and only calculate eth e outside, which is usually left of the sign

nikato · Answer

So in ur case, I'll just add 3+6

anonymous · Answer

so combine 3^3 and 6^3

anonymous · Answer

so i get 9^3?

mertsj · Answer

$$3x+6x=(3+6)(x)=9x$$
$$3\sqrt[3]{2a}+6\sqrt[3]{2a}=(3+6)(\sqrt[3]{2a})= ????$$

nikato · Answer

No, that 3 is part of the radical sign. Instead of finding the square root, which u see most often, that 3 means cube root

anonymous · Answer

ohhhh so 9^3sqrt2a

mertsj · Answer

Bingo

anonymous · Answer

thank you so much!

mertsj · Answer

yw

nikato · Answer

Yes, u write it like that, but remember the 9 and 3 don't really have a relation. It does not mean 9 to the 3rd power

saiyan · Answer

you all missed the -6 in the equation its not +6