بِسْــــــمِ اللّٰهِ الرَّحْمٰنِ الرَّحِيْمَ
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Jawaban:
8) C. 2x²
9) B. 6
Penjelasan dengan langkah-langkah:
[tex]\begin{aligned}8.~~ \sqrt[3]{8x^{6}}& = \sqrt[3]{8. {x}^{6} } \\& = \sqrt[3]{ {2}^{3}. {x}^{3}. {x}^{3} } \\ & = {2}^{ \frac{3}{3} }. {x}^{ \frac{3}{3} }. {x}^{ \frac{3}{3} } \\& = {2}^{1}. {x}^{1}. {x}^{1} \\& = 2.x.x \\& = {2x}^{2} \end{aligned}[/tex]
keterangan: tanda (.) pada operasi diatas = kali
[tex]\begin{aligned}9.~~ \sqrt[3]{18} \times \sqrt[3]{12} &= \sqrt[3]{18 \times 12} \\&= \sqrt[3]{216} \\&= \sqrt[3]{ {6}^{3} } \\&= {6}^{ \frac{3}{3} } \\&= {6}^{1} \\&=6\end{aligned}[/tex]
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بِسْــــــمِ اللّٰهِ الرَّحْمٰنِ الرَّحِيْمَ
..
Jawaban:
8) C. 2x²
9) B. 6
Penjelasan dengan langkah-langkah:
[tex]\begin{aligned}8.~~ \sqrt[3]{8x^{6}}& = \sqrt[3]{8. {x}^{6} } \\& = \sqrt[3]{ {2}^{3}. {x}^{3}. {x}^{3} } \\ & = {2}^{ \frac{3}{3} }. {x}^{ \frac{3}{3} }. {x}^{ \frac{3}{3} } \\& = {2}^{1}. {x}^{1}. {x}^{1} \\& = 2.x.x \\& = {2x}^{2} \end{aligned}[/tex]
keterangan: tanda (.) pada operasi diatas = kali
[tex]\begin{aligned}9.~~ \sqrt[3]{18} \times \sqrt[3]{12} &= \sqrt[3]{18 \times 12} \\&= \sqrt[3]{216} \\&= \sqrt[3]{ {6}^{3} } \\&= {6}^{ \frac{3}{3} } \\&= {6}^{1} \\&=6\end{aligned}[/tex]