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# Square roots

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Manager
Joined: 24 May 2010
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31 Jul 2010, 14:45
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Is C = sqrt(W/L) By what factor does C increase if W triples and L is cut in half
Ms. Big Fat Panda
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02 Aug 2010, 14:25
Expert's post
$$C = \sqrt{\frac{W}{L}}$$

Now, if you triple W and reduce L by half we get: $$C = \sqrt{\frac{3W}{\frac{L}{2}}}$$ $$= \sqrt{\frac{6W}{L}} =\sqrt{6}\sqrt{\frac{W}{L}} = \sqrt{6}C$$

Hope this helps.
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08 Sep 2010, 08:51
whiplash2411 wrote:
$$C = \sqrt{\frac{W}{L}}$$

Now, if you triple W and reduce L by half we get: $$C = \sqrt{\frac{3W}{\frac{L}{2}}}$$ $$= \sqrt{\frac{6W}{L}} =\sqrt{6}\sqrt{\frac{W}{L}} = \sqrt{6}C$$

Hope this helps.

Excellent explanation!
Re: Square roots   [#permalink] 08 Sep 2010, 08:51
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