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Mathematics 8 Online
OpenStudy (anonymous):

cube root of 56x14

OpenStudy (tkhunny):

Can you find the Prime Factorization? 56*14 = 56 * 7 * 2 That's just a start. You chop up 56 until you have ONLY Prime Numbers showing.

OpenStudy (anonymous):

x is a variable

OpenStudy (tkhunny):

\[\sqrt[3]{56x^{14}}\] that?

OpenStudy (theviper):

\[\Large{\sqrt[3]{56\times14}=\sqrt[3]{2\times2\times2\times7\times7\times2}=2\sqrt[3]{98}}\]

OpenStudy (anonymous):

what are the steps

OpenStudy (anonymous):

i need help

OpenStudy (tkhunny):

No one can help you until you confirm what the actual problem statement is. TheViper gave a good demonstration of the solution if the problem is as stated there. Right above that, I provided anoither choice. What is the problem statement?

OpenStudy (theviper):

Step1- First find the factors of 56 &14

OpenStudy (anonymous):

it is the one you said

OpenStudy (anonymous):

x is to the power of 14

OpenStudy (tkhunny):

cuberoot(56) = cuberoot(7*(2^3)) = cuberoot(7)*cuberoot(2^3) = cuberoot(7)*2 cuberoot(x^14) = cuberoot((x^12)*(x^2)) = (x^4)*cuberoot(x^2)

OpenStudy (anonymous):

can you show me that with the symbols?

OpenStudy (tkhunny):

It won't be any different. \[\sqrt[3]{56} = \sqrt[3]{7\cdot 2^{3}} = \sqrt[3]{7}\cdot \sqrt[3]{2^{3}} = \sqrt[3]{7}\cdot 2\] \[\sqrt[3]{x^{14}} = \sqrt[3]{x^{12}\cdot x^{2}} = \sqrt[3]{x^{12}}\cdot \sqrt[3]{x^{2}} = x^{4}\cdot \sqrt[3]{x^{2}}\]

OpenStudy (anonymous):

what is the final answer

OpenStudy (tkhunny):

You can't make me do all the work. You tell me the finalk answer. Demonstrate some ability to solve such problems or I'm going to have to start thinking that you are not attending class.

OpenStudy (anonymous):

the way you explained it made me so confused

OpenStudy (anonymous):

can you show me the steps one by one?

OpenStudy (tkhunny):

I did that, already. Now, you need to take one last step by yourself or this discussion is of no value.

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