[tex](5 \sqrt{x^{5} } ) \: (3 \sqrt[3]{x} )[/tex]
Sederhanakanlah bentuk akar tersebut
Jawab:
[tex](5 \sqrt{ {x}^{5} } )(3 \sqrt[3]{x} ) \\ = (5 \times \sqrt{ {x}^{5} } ) \times (3 \times \sqrt[3]{x} ) \\ = (5 \times {x}^{ \frac{5}{2} } ) \times (3 \times {x}^{ \frac{1}{3} }) \\ = 5 {x}^{ \frac{5}{2} } \times 3 {x}^{ \frac{1}{3} } \\ = 15 {x}^{ \frac{5}{2} + \frac{1}{3} } \\ = 15 {x}^{ \frac{15 + 2}{6} } \\ = 15 {x}^{ \frac{17}{6} } \\ = 15 \sqrt[6]{ {x}^{17} } \\ = 15 \sqrt[6]{ {x}^{11} \times {x}^{6} } \\ = 15x \sqrt{ {x}^{11} } [/tex]
[answer.2.content]
