Question

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

a. 3
b. 6
c. 9
d. 27

Answer 1

9 2/3 written as an improper fraction, which I assume is what you mean, would be 29/3. Therefore, 3 would still be under the radical. I would say the answer is A, however, that's only based on the assumption that "simplest radical form" on your assignment also means written as an improper fraction.

Answer 2

Option a - 3

Explanation:

Given : Expression
`9^{(2)/(3)}`

To find :

The value remains under the radical.?

Solution :

We have to solve the expression in simpler form,

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

We can re-write as,

`=\sqrt[3]{9^2}`

`=\sqrt[3]{81}`

`=\sqrt[3]{3* 3* 3* 3}`

`=3\sqrt[3]{3}`

Therefore, The value remains under the radical is 3.

Hence, Option a is correct.