Question

When 9 ^2/3 is written in simplest radical form, which value remains under the radical?

3
6
9
27

Answer 1

The value remains under the radical is 3

Explanation:

Given the expression
`9^{(2)/(3)}`

We have to find the value remains under the radical.

`9^{(2)/(3)}`

It can be written as
`\sqrt[3]{9^2}`

⇒
`\sqrt[3]{81}`

⇒
`\sqrt[3]{3* 3* 3* 3}`

⇒
`3\sqrt[3]{3}`

Hence, the value remains under the radical is 3

Answer 2

Answer
The value under the radical is 3

Explanation
9^(2/3) This means 9 squared then find find the cube root of the answer.

9^(2/3)=∛(9^2 )
= ∛81
= ∛(3×3×3×3) = ∛(3)³ ₓ ∛3
= 3∛3
The value under the radical is 3

I hope this now shows clearly the number under the radical is 3.