simplifying 2 times the cubed root of r^5/2s^2t

[whit]

okay i have a question... i have worked on this for hous and have not gotten any where....

2 times the cubed root of r^5/2s^2t

my teacher really did not teach us this because she said it should be review... but i have not seen this yet... you help you be greatly apprieated

i tried to times it all by the square root of 2s^2t but i dont think that is right

 

[royhaas]

Re: simplifying

The cube root is the same thing as the 1/3 power.

 

[Loren]

Re: simplifying

2 times the cubed root of r^5/2s^2t

\(\displaystyle 2\sqrt[3]{\frac{r^5}{2s^2t}}\)

First concept: \(\displaystyle \sqrt[3]{x^7}=\sqrt[3]{x^3\cdot x^3\cdot x^1} =\sqrt[3]{x^3}\cdot \sqrt[3]{x^3}\cdot\sqrt[3]{x} = x\cdot x\cdot \sqrt[3]{x} = x^2\sqrt[3]{x}\)

Second concept: \(\displaystyle \sqrt[3]{\frac{1}{5x^4y^2}}=\sqrt[3]{\frac{1}{5x^4y^2}\cdot \frac{5^2x^2y^1}{5^2x^2y^1}}=\sqrt[3]{\frac{5^2x^2y^1}{5^3x^6y^3}}=\frac{\sqrt[3]{25x^2y^1}}{5x^2y}\)

You figure those out and you have it made.

 

[You]

Re: Simplifying

2 times the cubed root of r^5/2s^2t

\(\displaystyle 2\sqrt[3]{\frac{r^5}{2s^2t}}\)

First concept: \(\displaystyle \sqrt[3]{x^7}=\sqrt[3]{x^3\cdot x^3\cdot x^1} =\sqrt[3]{x^3}\cdot \sqrt[3]{x^3}\cdot\sqrt[3]{x} = x\cdot x\cdot \sqrt[3]{x} = x^2\sqrt[3]{x}\)

Second concept: \(\displaystyle \sqrt[3]{\frac{1}{5x^4y^2}}=\sqrt[3]{\frac{1}{5x^4y^2}\cdot \frac{5^2x^2y^1}{5^2x^2y^1}}=\sqrt[3]{\frac{5^2x^2y^1}{5^3x^6y^3}}=\frac{\sqrt[3]{25x^2y^1}}{5x^2y}\)

You figure those out and you have it made.

So Loren, that means the problem is already simplify?

 

[mmm4444bot]

You figure those out and you have it made.

So Loren, that means the problem is already [simplified]?

No. Here is the translation:

You figure those out = IF you understand concepts 1 & 2

you have it made = THEN you will be able to finish the exercise

Are you working on this exercise, too? If not, then please start your own thread, and follow our posting guidelines. Cheers :cool:

 

[You]

No. Here is the translation:

You figure those out = IF you understand concepts 1 & 2

you have it made = THEN you will be able to finish the exercise

Are you working on this exercise, too? If not, then please start your own thread, and follow our posting guidelines. Cheers :cool:

I am working on that exercise, I did almost everything my awsers was 2 times the cubed root of r^5s^2t , I dont know if is right.

 

[mmm4444bot]

2 times the cubed root of r^5s^2t

I dont know if is right

No, that's not correct.

Are you really multiplying r^5 s^2 t, or did you make a typographical error above?

The given expression is not simplified because the radicand contains five factors of r, but the radical is only a cube root.

Hint: r^5 = (r*r*r)*(r*r) = r^3*r^2

Can you simplify the cube root of (r^3*r^2)?

 

[You]

No, that's not correct.

Are you really multiplying r^5 s^2 t, or did you make a typographical error above?

The given expression is not simplified because the radicand contains five factors of r, but the radical is only a cube root.

Hint: r^5 = (r*r*r)*(r*r) = r^3*r^2

Can you simplify the cube root of (r^3*r^2)?

So 4r^2 times the cuber root of r^3s^2t ? , OMG! I dont ██████ :lol: I really don't like math...

 

[mmm4444bot]

[I don't get it] :lol: I really don't like math

The reason for why you don't get it AND why you don't like math IS:

You are not a serious student.

Why are you here?

PS: Please drop the valley-girl chat-speak, and clean up your language.

 

[You]

The reason for why you don't get it AND why you don't like math IS:

You are not a serious student.

Why are you here?

PS: Please drop the valley-girl chat-speak, and clean up your language.

Yo! I am a serious student, I would not be ovehere asking if I wasnt. Math is not my subect, I always struggle in it. I'm laughing because, I really don't get it; I have been trying more than 2 hours, to solve this problem and I still don't get it, is just giving me a headache, I rather laugh from myself than get mad with some one because it wont solve anything. LOL. :grin: , I'm serious.

 

[mmm4444bot]

I have been trying more than 2 hours, to solve this problem and I still don't get it

You need to learn the prerequisite material, first.

If you do not understand how to simplify \(\displaystyle \sqrt[3]{r^5}\) then you are not ready for this exercise. You need to review your elementary lessons on simplifying radicals, beginning with the very definition of a radical.

The volunteers here generally do not type up such lectures because they already exist at hundreds of locations on the Internet. If you read something in your lessons that you do not understand, then please come back and start a thread with your specific question.

 

[mmm4444bot]

I am a serious student

Math is not my subect

Do you tend to skip over things in your text that are not immediately understandable? Do you make an effort to clarify confusion in lecture statements or notes? Math instruction builds upon itself. You need a good understanding of each new topic, before moving on to homework or new concepts, or you're flying blindly.

 

[HallsofIvy]

Perhaps the difficulty is that you wrote "2 times the cubed root of r^5/2s^2t" which is an expression, not a "question" or a "problem". What were you asked to do with that?

 

[mmm4444bot]

Halls, the instruction is at the top of the thread: simplify. :cool: