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anonymous

  • one year ago

Will fan & medal Simplify: 2 (^3sqrt108)

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  1. anonymous
    • one year ago
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    @dan815 @zepdrix @Directrix

  2. Directrix
    • one year ago
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    Is this supposed to be: 2 ^ (3sqrt108) ? Two raised to the (3 times square root of 108) power?

  3. anonymous
    • one year ago
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    No, its just the number 2 being multiplied by the sqrt of 108 that has ^3 in front of the sqrt sign... I learned in my lesson that it means 108^1/3

  4. anonymous
    • one year ago
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    @Directrix

  5. johnweldon1993
    • one year ago
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    Oh okay \(\large 2(\sqrt[3]{108})\)

  6. anonymous
    • one year ago
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    Yes!!

  7. johnweldon1993
    • one year ago
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    So try and think about cubed roots \(\large 2^3 = 8\) <---can this be evenly divided into 108? \(\large 3^3 = 27\) <---what about this? \(\large 4^3 = 64\) <--- or this? We know 64 cannot be evenly divided into 108..so ignore that...but in what way ...can we manipulate the numbers 3 and 2 to break down 108? *Remembering the key is cubed root*

  8. anonymous
    • one year ago
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    Hmmm... I'm thrown off by the 3 and 2 you gave me to work with.. Not really sure what I'm supposed to do :/

  9. johnweldon1993
    • one year ago
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    Well the reason why I'm giving you that is because if you think about it \[\large \sqrt[3]{x^3} = x\] right? the 3 and the 3 cancel leaving just 'x'...so if we can find something that is raised to the third power....this can be simplified greatly So hint* (kinda a big one lol) \(\large 3^3 * 4\) what does that equal?

  10. anonymous
    • one year ago
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    27 times 4 is 108 ;p

  11. anonymous
    • one year ago
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    Wait!!

  12. anonymous
    • one year ago
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    You may be reading too much into this because the goal is not to cancel out that exponent.. It still remains in the answer

  13. johnweldon1993
    • one year ago
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    Exactly :P So if we take your original question \[\large 2(\sqrt[3]{108})\] and write it as \(\large 2\sqrt[3]{(3^3 * 4)}\) that is the same ***and the exponent will still be in the answer btw :P *** just a way of breaking it down

  14. anonymous
    • one year ago
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    My answer choices are: 16 3^sqrt18 8 3^sqrt6 5 3^sqrt4 6 3^sqrt4

  15. anonymous
    • one year ago
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    Ohh okay haha got it

  16. johnweldon1993
    • one year ago
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    mmhmm i see the one i'm aiming at ;P

  17. anonymous
    • one year ago
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    Lol!!!

  18. johnweldon1993
    • one year ago
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    Okay SO remember how i said \[\large \sqrt[3]{x^3} = x\] Well...lookey what we have here... \[\large 2(\sqrt[\color \red{3}]{\color \red{3^3} * 4})\]

  19. anonymous
    • one year ago
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    oh!!! i know the answer now ;p

  20. johnweldon1993
    • one year ago
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    So now if we re-write this as \[\large 2(3\sqrt[3]{4})\] I believe you can do the rest ;P

  21. anonymous
    • one year ago
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    so its 6 3^sqrt4

  22. johnweldon1993
    • one year ago
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    BAM! lol "ju got et chicha" ;p

  23. anonymous
    • one year ago
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    Bahaha thanks bby ;*

  24. johnweldon1993
    • one year ago
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    Anytime puddin ;* lol

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