Write the expression 2 3/5 as a radical

Question

asked Nov 9, 2017 43.1k views

2 Answers

Expz · Answer 1 · 2017-11-12T17:20:13+0000

Answer:

$\sqrt[5]{8}$ is the radical form of the given expression.

Explanation:

We have been given an expression:

$2^{(3)/(5)}$

It can be rewritten as:

Using
$x^{(a)/(b)}=x^{a\cdot(1)/(b)}$

$(2^3)^{(1)/(5)}$

Now, we will use the formula:

$x^{(1)/(n)}=\sqrt[n]{x}$

Here, n=5

We have
$2{^3\cdot(1)/(5)}=\sqrt[5]{2^3}$

We know that
2^3=8

So,
$\sqrt[5]{8}$ is the radical form of the given expression.