Matematika Sekolah Menengah Atas Sederhanakan 8√1/3 + 27√2/3 - 125√1/3​

Sederhanakan 8√1/3 + 27√2/3 - 125√1/3​

[tex]{(8)}^{\frac{1}{3}} + {(27)}^{\frac{2}{3}} - {(125)}^{\frac{1}{3}} [/tex]

[tex]= {({2}^{3})}^{\frac{1}{3}} + {({3}^{3})}^{\frac{2}{3}} - {({5}^{3})}^{\frac{1}{3}} [/tex]

[tex]= {(2)}^{3 \times \frac{1}{3}} + {(3)}^{3 \times \frac{2}{3}} - {(5)}^{3 \times \frac{1}{3}}[/tex]

[tex]= {(2)}^{1} + {(3)}^{2} - {(5)}^{1} [/tex]

[tex]= 2 + 9 - 5 = 11 - 5 = 6[/tex]

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