Question

Identify the radical expression of 51/3.

A) (1/5)3
B) 31/5
C)
1/5
D)
5

Answer 1

the radical expression of
`(5)^\left (1/3 \right)` is,
`(\sqrt[3]{5} )`

Explanation:

An algebraic expression that contains radicals is called radical expression.

to simplify this expression we use product and quotient rules to simply.

Simplify:
`(5)^\left (1/3 \right)`

Use :
`\sqrt[n]{a^m}=a^\left ( m/n \right )`

`(5)^\left (1/3 \right)`=
`(\sqrt[3]{5} )` [use quotient rule]

Therefore, the radical expression of
`(5)^\left (1/3 \right)` is,
`(\sqrt[3]{5} )`

Answer 2

given the expression:
`5^{ (1)/(3)}`

Applying the indices law ⇒
`a^{ (m)/(n)}= (\sqrt[n]{a} )^m`


`5^{ (1)/(3)}= (\sqrt[3]{5}})^1= \sqrt[3]{5}`⇒ This is the radical expression