Simplify \sqrt[6]{5} * \sqrt[2]{5} = sumplify ​

Question

Simplify

`\sqrt[6]{5} * \sqrt[2]{5} =`
sumplify
​

Answer 1

Explanation:

`\sqrt[6]{5} * \sqrt[2]{5}`

`= {5}^{ (1)/(6) } * {5}^{ (1)/(2) }`

`= {5}^{ (1)/(6) + (1)/(2) }`

`= {5}^{ (1 + 3)/(6) }`

`= {5}^{ (4)/(6) }`

`= {5}^{ (2)/(3) }`

`= \sqrt[3]{ {5}^(2) } (ans)`