Question

Simplify the following radical expression 4/2•8/2•/2


`\sqrt[4]{2} * \sqrt[8]{2} * √(2)`
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Answer 1

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

Explanation:

`\sqrt[4]{2} * \sqrt[8]{2} * \sqrt[2]{2}\\\\={2^{(1)/(4)}* 2^{(1)/(8)}* 2^{(1)/(2)}\\\\=2^{(1)/(4)+(1)/(8)+(1)/(2)}\\\\=2^{(2)/(8)+(1)/(8)+(4)/(8)}\\\\=2^{(7)/(8)}\\\\\\=\large\boxed{\sqrt[8]{2^7}}`