Usmérněný zlomek
Usměrni zlomek \frac{3}{\sqrt[3]{2}-1}.
=3(\sqrt[3]{4}+\sqrt[3]{3}+1)
=3(\sqrt[3]{4}+\sqrt[3]{2}+1)
=3(\sqrt[3]{5}+\sqrt[3]{2}+1)
=3(\sqrt[3]{4}-\sqrt[3]{2}+1)
Jestliže se nachází ve jmenovateli třetí odmocnina spolu s dalším členem, je potřeba vynásobit čitatele i jmenovatele tak, aby šlo použít vzoreček (a-b) \cdot\left(a^{2}+a b+b^{2}\right)= =a^{3}-b^{3}, popř. použít vzoreček (a+b) \cdot\left(a^{2}-a b+b^{2}\right)=a^{3}+b^{3}, kdyby byly oba členy v zadání ve jmenovateli s kladným znaménkem.
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