Question

How do you write the expression `a^(6/5)` in radical form?

Answer 1

`a^(6/5)=color(green)(aroot(5)a)`

Explanation:

`a^(6/5)`
`color(white)("XXX")=a^(5/5) * a^(1/5)`

`color(white)("XXX")=a * root(5)a`

Answer 2

`color(red)(aroot5a`

Explanation:

`5^(6/5)=root5(a^6)`

`:.=root5(a*a*a*a*a*a)`

`color(blue)(Note:`

`color(blue)(root5(a)*root5(a)*root5(a)*root5(a)*root5(a)=a`

`color(blue)(root5(a*a*a*a*a)=a`

`color(blue)(root5(2)*root5(2)*root5(2)*root5(2)*root5(2)=2`

`:.=color(red)(aroot5(a)`