Question

When 9 and 2/3 is written in simplest radical form, which value remains under the radical?36927

Answer 1

Given

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

To write it in the simplest form and to find which value remains under the radical.

Step-by-step explanation:

It is given that,

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

It is known that,

`x^{(m)/(n)}=\sqrt[n]{x^m}`

That implies,

`\begin{gathered} 9^{(2)/(3)}=\sqrt[3]{9^2} \\ =\sqrt[3]{3*3*3*3} \\ =3\sqrt[3]{3} \end{gathered}`

Therefore, the simplest form of the expression is,

`3\sqrt[3]{3}`

and the value that remains under the radical is 3.