contestada

simplify the following radical expression 4/2•8/2•/2
[tex] \sqrt[4]{2} \times \sqrt[8]{2} \times \sqrt{2} [/tex]

Respuesta :

Answer:  [tex]\bold{\sqrt[8]{2^7} }[/tex]

Step-by-step explanation:

[tex]\sqrt[4]{2} \times \sqrt[8]{2} \times \sqrt[2]{2}\\\\={2^{\frac{1}{4}}\times 2^{\frac{1}{8}}\times 2^{\frac{1}{2}}\\\\=2^{\frac{1}{4}+\frac{1}{8}+\frac{1}{2}}\\\\=2^{\frac{2}{8}+\frac{1}{8}+\frac{4}{8}}\\\\=2^{\frac{7}{8}}\\\\\\=\large\boxed{\sqrt[8]{2^7}}[/tex]