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Question Number 81913 by ahmadshahhimat775@gmail.com last updated on 16/Feb/20

Commented by john santu last updated on 16/Feb/20

⇒(√x)+(y)^(1/(6 ))  +((y (y)^(1/(6 )) +x (x)^(1/(6 )) )/((x)^(1/(3 ))  (√y))) =  ((((x^5  ))^(1/(6 )) (√y) + (x)^(1/(3 ))  (y^4 )^(1/(6 )) +(y^7 )^(1/(6 )) +(x^7 )^(1/(6 )) )/((x)^(1/(3 ))  (√y)))

$$\Rightarrow\sqrt{{x}}+\sqrt[{\mathrm{6}\:}]{{y}}\:+\frac{{y}\:\sqrt[{\mathrm{6}\:}]{{y}}+{x}\:\sqrt[{\mathrm{6}\:}]{{x}}}{\sqrt[{\mathrm{3}\:}]{{x}}\:\sqrt{{y}}}\:= \\ $$$$\frac{\sqrt[{\mathrm{6}\:}]{{x}^{\mathrm{5}} \:}\sqrt{{y}}\:+\:\sqrt[{\mathrm{3}\:}]{{x}}\:\sqrt[{\mathrm{6}\:}]{{y}^{\mathrm{4}} }+\sqrt[{\mathrm{6}\:}]{{y}^{\mathrm{7}} }+\sqrt[{\mathrm{6}\:}]{{x}^{\mathrm{7}} }}{\sqrt[{\mathrm{3}\:}]{{x}}\:\sqrt{{y}}} \\ $$$$ \\ $$

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