Question

Quiz⁵³



[tex]1 \frac{ \sqrt[3]{27} }{ \sqrt[3]{19.683} } + 4 \frac{ \sqrt[3]{729.000} }{ \sqrt[3]{5.832.000} } - 1 \frac{ \sqrt[2]{9} }{ \sqrt[4]{104.976 - \sqrt[3]{46.656} } } = [/tex]


butuh teman malam ​

Answer 1

Verified answer

Jawab:

[tex]\displaystyle \rm 1\frac{\sqrt[3]{27} }{\sqrt[3]{19.683} } +4\frac{\sqrt[3]{729.000} }{\sqrt[3]{5.832.000} } -1\frac{\sqrt[2]{9} }{\sqrt[4]{104.976}-\sqrt[3]{46.656} } = \bold{\large 6}[/tex]

Penjelasan dengan langkah-langkah:

[tex]\displaystyle \rm 1\frac{\sqrt[3]{27} }{\sqrt[3]{19.683} } +4\frac{\sqrt[3]{729.000} }{\sqrt[3]{5.832.000} } -1\frac{\sqrt[2]{9} }{\sqrt[4]{104.976}-\sqrt[3]{46.656} }[/tex]

[tex]= \displaystyle 1\frac{9}{27 } +4\frac{90}{180} -1\frac{3}{18-36 }[/tex]

[tex]= \displaystyle 1\frac{1}{3 } +4\frac{1}{2} -1\frac{3}{(-18) }[/tex]

[tex]= \displaystyle 1\frac{1}{3 } +4\frac{1}{2} -1\frac{1}{(-6) }[/tex]

[tex]= \displaystyle \frac{4}{3 } +\frac{9}{2} + \frac{1}{6 }[/tex]

[tex]= \displaystyle \frac{8}{6} +\frac{27}{6} + \frac{1}{6 }[/tex]

[tex]= \displaystyle \frac{8 + 27 +1}{6}[/tex]

[tex]= \displaystyle \frac{36}{6}[/tex]

[tex]= \huge{ \displaystyle \large \bold{6}}[/tex]