teddybearbloom13
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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anonymous
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how many times does 2 go in to 18 ?
anonymous
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i.e. what is \(18\div 2\) ?
anonymous
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this is the easy part, the hard part is finding \(\sqrt{338}\)
anonymous
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ok so \(\sqrt{w^{18}}=w^9\) is a start
anonymous
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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
\[\sqrt{338}=\sqrt{13^2\times 2}=\sqrt{13^2}\sqrt{2}=13\sqrt{2}\]
anonymous
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giving you a final answer of \(13w^9\sqrt{2}\)
anonymous
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which i hope is one of your choices
anonymous
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no
teddybearbloom13
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then what ?
anonymous
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looks like A is \(13w^3\sqrt{2}\) which is not right
anonymous
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find the one that looks like \(13w^9\sqrt{2}\)
anonymous
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okay pick that one
teddybearbloom13
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thanks