Упростите пожалуйста [tex]\frac{\sqrt[4]{а}-\sqrt[4]{b} }{\sqrt{а}-\sqrt{b} }[/tex]. Created by caxopo4ek. algebra-ru

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Упростите пожалуйста [tex]\frac{\sqrt[4]{а}-\sqrt[4]{b} }{\sqrt{а}-\sqrt{b} }[/tex]

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AntVa

$\frac{\sqrt[4]{a}-\sqrt[4]{b} }{\sqrt{a}-\sqrt{b}}=\frac{\sqrt[4]{a}-\sqrt[4]{b}}{(\sqrt[4]{a}-\sqrt[4]{b})(\sqrt[4]{a}+\sqrt[4]{b})}=\frac{1}{\sqrt[4]{a}+\sqrt[4]{b}}$

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