Question

[tex]\displaystyle\bf~ \sqrt[3]{24 + \sqrt[3]{24 + \sqrt[3]{24 + \sqrt[3]{24 + \sqrt[3]{27} } } } } = ....?[/tex]


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Answer 1

Jawaban:

Bilangan Berpangkat

Penjelasan dengan langkah-langkah:

³√24 +³√ 24+³√ 24+³√ 24+³√ (27) =

³√24 +³√ 24+³√ 24+³√ 24 + ³√3 ³ =

³√24 + ³ √ 24 + ³√24 + ³√24 + 3⁽³/₃⁾ =

³√24 + ³√24 +³√24 +³√24 +3

³√24 + ³√24 + ³√24 + ³√27

³√24 + ³√24 + ³√24 + ³√3 ³

³√24 +³√24 +³√24 + 3⁽³/₃⁾

³√24 +³√24 +³√24 +3

³√24 +³√24 +³√27

³√24 +³√24 +³√3³

³√24+³√24 +3⁽³/₃⁾

³√24 +³√24+3

³√24 +³√27

³√24 +³√3³

³√24 +3⁽³/₃⁾

³√24 + 3

³√27

³√3³

3

Demikian

Answer 2

Eksponen

..

[tex] \bf~ \sqrt[3]{24 + \sqrt[3]{24 + \sqrt[3]{24 + \sqrt[3]{24 + \sqrt[3]{27} } } } } = ....[/tex]

Penyelesaian Soal

[tex]\begin{aligned} Hasil &= \bf~ \sqrt[3]{24 + \sqrt[3]{24 + \sqrt[3]{24 + \sqrt[3]{24 + \sqrt[3]{27} } } } } \\&= \displaystyle{\bf~ \sqrt[3]{24 + \sqrt[3]{24 + \sqrt[3]{24 + \sqrt[3]{24 + 3} } } }} \\&= \displaystyle \bf~ \sqrt[3]{24 + \sqrt[3]{24 + \sqrt[3]{24 + \sqrt[3]{27} } } } \\&= \displaystyle \bf~ \sqrt[3]{24 +\cancel{ \red{ \sqrt[3]{24 + \sqrt[3]{24 + \sqrt[3]{27} } }}}~{}^{3 } } \\&= \displaystyle \bf~\sqrt[3]{24 + 3} \\&= \displaystyle \bf~\sqrt[3]{27} \\&= \boxed{\bold{\underline{3}}} \end{aligned}[/tex]

[tex]\begin{array}{lr}\texttt{Selamat Hari Keterbukaan Informasi Nasional}\end{array}[/tex]

[tex]\boxed{\colorbox{ccddff}{Answered by Danial Alf'at | 30 - 04 - 2023}}[/tex]