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Assume x and y are nonnegative.

AngelRay  Dec 26, 2017
 #1
avatar+7339 
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\(7\sqrt{50x^{15}y^{21}} \\~\\ =\,7\cdot\sqrt{2\cdot5^2\cdot x\cdot x^{14}\cdot y\cdot y^{20}} \)

 

\(=\,7\cdot\sqrt{5^2\cdot x^{14}\cdot y^{20}\cdot2\cdot x\cdot y} \\~\\ =\,7\cdot\sqrt{5^2}\cdot \sqrt{x^{14}}\cdot \sqrt{y^{20}}\cdot\sqrt{2\cdot x\cdot y} \\~\\ =\,7\cdot5\cdot x^7\cdot y^{10}\cdot\sqrt{2xy} \\~\\ =\,35x^7y^{10}\sqrt{2xy}\) Since  x  and  y  are not negative, we can say...

hectictar  Dec 26, 2017

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