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teddybearbloom13 Group Title

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.

  • one year ago
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  1. satellite73 Group Title
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    how many times does 2 go in to 18 ?

    • one year ago
  2. satellite73 Group Title
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    i.e. what is \(18\div 2\) ?

    • one year ago
  3. satellite73 Group Title
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    this is the easy part, the hard part is finding \(\sqrt{338}\)

    • one year ago
  4. teddybearbloom13 Group Title
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    9

    • one year ago
  5. satellite73 Group Title
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    ok so \(\sqrt{w^{18}}=w^9\) is a start

    • one year ago
  6. satellite73 Group Title
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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 \[\sqrt{338}=\sqrt{13^2\times 2}=\sqrt{13^2}\sqrt{2}=13\sqrt{2}\]

    • one year ago
  7. satellite73 Group Title
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    giving you a final answer of \(13w^9\sqrt{2}\)

    • one year ago
  8. satellite73 Group Title
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    which i hope is one of your choices

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  9. teddybearbloom13 Group Title
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    so a

    • one year ago
  10. satellite73 Group Title
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    no

    • one year ago
  11. teddybearbloom13 Group Title
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    then what ?

    • one year ago
  12. satellite73 Group Title
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    looks like A is \(13w^3\sqrt{2}\) which is not right

    • one year ago
  13. satellite73 Group Title
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    find the one that looks like \(13w^9\sqrt{2}\)

    • one year ago
  14. teddybearbloom13 Group Title
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    d

    • one year ago
  15. satellite73 Group Title
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    okay pick that one

    • one year ago
  16. teddybearbloom13 Group Title
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    thanks

    • one year ago
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