anonymous
  • anonymous
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.
Mathematics
jamiebookeater
  • jamiebookeater
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anonymous
  • anonymous
how many times does 2 go in to 18 ?
anonymous
  • anonymous
i.e. what is \(18\div 2\) ?
anonymous
  • anonymous
this is the easy part, the hard part is finding \(\sqrt{338}\)

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anonymous
  • anonymous
9
anonymous
  • anonymous
ok so \(\sqrt{w^{18}}=w^9\) is a start
anonymous
  • anonymous
as for \(\sqrt{338}\) it turns out that \(338=13\times 13\times 2\) or \(13^2\times 2\) that means \[\sqrt{338}=\sqrt{13^2\times 2}=\sqrt{13^2}\sqrt{2}=13\sqrt{2}\]
anonymous
  • anonymous
giving you a final answer of \(13w^9\sqrt{2}\)
anonymous
  • anonymous
which i hope is one of your choices
anonymous
  • anonymous
so a
anonymous
  • anonymous
no
anonymous
  • anonymous
then what ?
anonymous
  • anonymous
looks like A is \(13w^3\sqrt{2}\) which is not right
anonymous
  • anonymous
find the one that looks like \(13w^9\sqrt{2}\)
anonymous
  • anonymous
d
anonymous
  • anonymous
okay pick that one
anonymous
  • anonymous
thanks

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