Question

Write 7 1/5 in radical form

Answer 1

The simplest form of radical $7^{\dfrac{1}{5}}$ = $\sqrt[5]{7}$ .

Step-by-step explanation:

We have,

$7^{\dfrac{1}{5}}$

To find, the radical form of $7^{\dfrac{1}{5}}$ = ?

∴ $7^{\dfrac{1}{5}}$

We know that,

Any number raised to the power of reciprocal n is the  $n^{th}$  root of that number.

= $\sqrt[5]{7}$

∴ $7^{\dfrac{1}{5}}$ = $\sqrt[5]{7}$ [ ∵ 7 is a prime number,  the simplest form of radical]

Thus, the simplest form of radical $7^{\dfrac{1}{5}}$ = $\sqrt[5]{7}$ .