Question

How could we write 3 1/4 in a form that makes it clear we are finding a root of 3?

Answer 1

√3 would work perfect.

Answer 2

\sqrt[4]{3}

Explanation:

The given expression
`3^{(1)/(4)}` is of form form
`a^{(1)/(n) }`

where
`a` is a real number for for which we have to find the
`n^(th)` root

comparing the expressions:

`a = 3` and
`n = 4` which means we are finding
`4^(th)` root of
`3`

Hence the given expression can be written as
`\sqrt[4]{3}`

i.e.
`3^{(1)/(4)} = \sqrt[4]{3}`