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teddybearbloom13

  • 2 years ago

Which expression is the simplified form of the square root 338 times w to the eighteenth power.? 13w3the square root 2 times w. 2w9the square root 13 times w. 2w3the square root 13 times w. 13w9the square root of 2.

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  1. anonymous
    • 2 years ago
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    how many times does 2 go in to 18 ?

  2. anonymous
    • 2 years ago
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    i.e. what is \(18\div 2\) ?

  3. anonymous
    • 2 years ago
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    this is the easy part, the hard part is finding \(\sqrt{338}\)

  4. teddybearbloom13
    • 2 years ago
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    9

  5. anonymous
    • 2 years ago
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    ok so \(\sqrt{w^{18}}=w^9\) is a start

  6. anonymous
    • 2 years ago
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    as for \(\sqrt{338}\) it turns out that \(338=13\times 13\times 2\) or \(13^2\times 2\) that means \[\sqrt{338}=\sqrt{13^2\times 2}=\sqrt{13^2}\sqrt{2}=13\sqrt{2}\]

  7. anonymous
    • 2 years ago
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    giving you a final answer of \(13w^9\sqrt{2}\)

  8. anonymous
    • 2 years ago
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    which i hope is one of your choices

  9. teddybearbloom13
    • 2 years ago
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    so a

  10. anonymous
    • 2 years ago
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    no

  11. teddybearbloom13
    • 2 years ago
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    then what ?

  12. anonymous
    • 2 years ago
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    looks like A is \(13w^3\sqrt{2}\) which is not right

  13. anonymous
    • 2 years ago
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    find the one that looks like \(13w^9\sqrt{2}\)

  14. teddybearbloom13
    • 2 years ago
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    d

  15. anonymous
    • 2 years ago
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    okay pick that one

  16. teddybearbloom13
    • 2 years ago
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    thanks

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