5/(sqrt(10)*sqrt(14). Created by vladanesterchuk. matematika-ru

(sqrt(10)*sqrt(14)...

Silverpuki4 $\frac{5}{\sqrt{10}\cdot \sqrt{14}} = \frac{5\cdot \sqrt{10}\cdot \sqrt{14}}{10\cdot 14} = \frac{\sqrt{140}}{2\cdot 14} =\frac{\sqrt{4\cdot 35}}{2\cdot 14} = \frac{2\sqrt{35}}{2\cdot 14} = \frac{\sqrt{35}}{14}$

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Verified answer

5/(sqrt(10)*sqrt(14)=(5*sqrt(10)*sqrt(14))/sqrt(10)=(5sqrt(140))/10=(2sqrt(35)/2=sqrt(35)

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