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Mathematics 8 Online
OpenStudy (anonymous):

What is the simplest form of the expression? [IMG] Will give medal for help.

OpenStudy (anonymous):

OpenStudy (snowfire):

Factorization helps, do you know how to use it?

OpenStudy (anonymous):

factorization of what? :/

OpenStudy (snowfire):

Okay, for example, 24 can be written as 2*2*2*3. That's factorizing.

OpenStudy (snowfire):

What would be the cube root of 24, knowing what I just told you?

OpenStudy (snowfire):

Or how can you simplify it, I should say

OpenStudy (anonymous):

why does it have to be written that way? it doesn't sound simple at all

OpenStudy (snowfire):

Because isn't 2*2*2=2^3?

OpenStudy (snowfire):

And the cube root of 2^3 is 2.

OpenStudy (anonymous):

= 2 * cuberoot(3)

OpenStudy (snowfire):

Yes, that is the cube root of 24. Now can you do the rest?

OpenStudy (anonymous):

ummmmmm no -.-

OpenStudy (snowfire):

What is the cube root of a^10?

OpenStudy (anonymous):

how do i take this 2*cubert(3) and make it into answer

OpenStudy (snowfire):

You have to apply the cube root to everything inside, and when the terms are being multiplied, you can do them individually. cuberoot(24*a^10*b^6)=cuberoot(24)*cuberoot(a^10)*cuberoot(b^6)

OpenStudy (anonymous):

i entered that into my calculator and all it says is "true" ??? :(

OpenStudy (anonymous):

either that or the answer is none of them :(

OpenStudy (snowfire):

No, you need to do this yourself. A calculator won't help you here. You have the first part, cuberoot(24)=2*cuberoot(3). Now go to the next term, cuberoot(a^10)

OpenStudy (anonymous):

um, answer is 2a^3b^2cuberoot(3a) ?

OpenStudy (anonymous):

C

OpenStudy (snowfire):

Yep, you got it. See, wasn't so bad right?

OpenStudy (anonymous):

was terrible, i still don't really understand factorization

OpenStudy (anonymous):

i figured it out by finding that C was the only answer which gave me "true" on my calculator :(

OpenStudy (snowfire):

Factorization is really easy. Just find all the lowest numbers that multiply to the original number

OpenStudy (snowfire):

Let me guide you through the rest. You have the 2*cuberoot(3) already. Now the cuberoot(a^10) is next. Rewrite a^10 as (a^3)(a^3)(a^3)a. What is the cuberoot of that?

OpenStudy (anonymous):

cuberoot((a^3)(a^3)(a^3)a)=cuberoot(a^10)

OpenStudy (snowfire):

Well yes, but keeping it the way I wrote it makes taking the cuberoot easier. For every a^3, one a gets put outside. That's all a cuberoot is.

OpenStudy (snowfire):

You want to know a cool way of writing a cuberoot?

OpenStudy (snowfire):

It's actually just equivalent to giving the things inside an exponent of 1/3. A square root is the exponent 1/2.

OpenStudy (snowfire):

So in fact, cuberoot(a^10)=(a^10)^(1/3)

OpenStudy (anonymous):

god i hate maths so much ;-; i have been struggling with math ever since they added letters to it (pre algebra?) the numbers just make no sense

OpenStudy (anonymous):

actually nvm i had troubles before that, i remember failing my division exams in elem school

OpenStudy (snowfire):

It doesn't come quickly for everybody, but it is doable. Everyone is capable of logic in time, some just don't see the patterns as quickly

OpenStudy (snowfire):

For example, if you ever had to do x+2=5 and solve for x. All you are really doing is finding what x has to be to make that true.

OpenStudy (anonymous):

i know that but i try so hard and i still don't understand the basic concepts of pre algebra or long division (or any hs math)

OpenStudy (anonymous):

i have to go eat lunch, maybe be back later

OpenStudy (snowfire):

I will guide you through anything you have trouble with there, algebra is easy to teach, for me at least.

OpenStudy (snowfire):

Since I was in your shoes once, not knowing how to do things like everybody else, so I made my own methods, maybe they will be of use to you. Enjoy your lunch!

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