Question

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

Answer 1

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. 

Answer 2

Answer:

The value remains under the radical is 3

Step-by-step explanation:

Given the expression $9^{\frac{2}{3}}$

We have to find the value remains under the radical.

$9^{\frac{2}{3}}$

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

⇒ $\sqrt[3]{81}$

⇒ $\sqrt[3]{3\times 3\times 3\times 3}$

⇒ $3\sqrt[3]{3}$

Hence, the value remains under the radical is 3