Question

Type the expressions as radicals. y5/2

Answer 1

The Radicals of y5/2 is: (y^5) = y^(5/2)

Answer 2

`√(y^5)`

Explanation:

The expresion
`y^{(1)/(b)}` as radical is
`\sqrt[b]{y}`. Therefore, a expresion of the form
`y^{(b)/(a)}` can be rewritten as

`y^{(a)/(b)}=\smash[b]{ \underbrace{\sqrt[b]{y} \cdots \sqrt[b]{y}\,}_\text{a-times}}=\sqrt[b]{y^(a)} \\`

Consequently,

`y^{(5)/(2)}=\sqrt[2]{y^5}`