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Simplify sqrt 512x^3y^5
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\[16xy ^{2}\sqrt{2xy}\] explanation coming
Using factor trees, you can see that everything that has a squared term as a factor comes out from under the square root (they come out in pairs). Example, a 4 would come out as a 2 since it is 2^2. The remaining terms that don't make a pair have to stay under the radical.
I use to tell myself that the numbers can only come out of the house with their identical partner....if they don't have one, then they have to stay inside.
yay?
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nice answer :) i was confused the way the question is written
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