cubed root of 2: [tex] \sqrt[3]{2} [/tex] = [tex] 2^{\frac{1}{3}} [/tex]
square root of 4: [tex] \sqrt{4} [/tex] = 2¹
12th root of 32: [tex] \sqrt[12]{32} [/tex] = [tex] \sqrt[12]{2^{5}} [/tex] = [tex] 2^{\frac{5}{12}} [/tex]
[tex] 2^{\frac{1}{3}} [/tex] x 2¹ x [tex] 2^{\frac{5}{12}} [/tex] = [tex] 2^{\frac{1}{3} + 1 + \frac{5}{12} } [/tex] = [tex] 2^{\frac{4}{12} + \frac{12}{12} + \frac{5}{12} } [/tex] = [tex] 2^{\frac{21}{12}} [/tex] = [tex] 2^{\frac{7}{4}} [/tex] = 2[tex] \sqrt[4]{2^{3}} [/tex] = 2[tex] \sqrt[4]{8} [/tex]
Answer: 2[tex] \sqrt[4]{8} [/tex]
