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a fost răspuns

Sa se calculeze
a) [tex] \sqrt[3]{ \sqrt[3]{-3} } [/tex]
b)[tex] \sqrt{ \sqrt[3]{5} } [/tex]
c)[tex] \sqrt{ \sqrt[3]{x^2} } [/tex]

Răspuns :

   

[tex]a)~~\sqrt[3]{ \sqrt[3]{-3} } = \sqrt[3\times3]{-3}= \sqrt[9]{-3} =- \sqrt[9]{3}\\ \\ b)~~ \sqrt{ \sqrt[3]{5} } = \sqrt[2\times 3]{5} = \pm \sqrt[6]{5} \\ \\ c)~~ \sqrt{ \sqrt[3]{x^2} } =\sqrt[3]{ \pm \sqrt{x^2} } = \sqrt[3]{ \pm x} = \pm \sqrt[3]{x}[/tex]