[tex]\displaystyle\bf\\\Bigg(\sqrt{\sqrt[3]{25} } \Bigg)^{3} =\Bigg(\sqrt{25^{^{\frac{1}{3} } } } \Bigg)^{3} =\Bigg(25^{^{\frac{1}{6} } } \Bigg)^{3} =25^{\frac{1}{2} } =\sqrt{25} =5[/tex]
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[tex]\displaystyle\bf\\\Bigg(\sqrt{\sqrt[3]{25} } \Bigg)^{3} =\Bigg(\sqrt{25^{^{\frac{1}{3} } } } \Bigg)^{3} =\Bigg(25^{^{\frac{1}{6} } } \Bigg)^{3} =25^{\frac{1}{2} } =\sqrt{25} =5[/tex]