Step-by-step explanation:
We have,
[tex]7^{\dfrac{1}{5}}[/tex]
To find, the radical form of [tex]7^{\dfrac{1}{5}}[/tex] = ?
∴ [tex]7^{\dfrac{1}{5}}[/tex]
We know that,
Any number raised to the power of reciprocal n is the [tex]n^{th}[/tex] root of that number.
= [tex]\sqrt[5]{7}[/tex]
∴ [tex]7^{\dfrac{1}{5}}[/tex] = [tex]\sqrt[5]{7}[/tex] [ ∵ 7 is a prime number, the simplest form of radical]
Thus, the simplest form of radical [tex]7^{\dfrac{1}{5}}[/tex] = [tex]\sqrt[5]{7}[/tex] .
