Mathematics: When 92/3 is written in simplest radical form, which value remains under the radical?

When 92/3 is written in simplest radical form,

kaliyab191

13.03.2022

$3\sqrt[3]{3}$ ; 3 will remain under radical.

Step-by-step explanation:

We have been given a number $9^{\frac{2}{3}}$ . We are asked to write our given number in simplest radical form.

Using exponent property for radicals $a^{\frac{m}{n}}=\sqrt[n]{x^m}$ , we can rewrite our expression as:

$9^{\frac{2}{3}}=\sqrt[3]{9^2}$

$9^{\frac{2}{3}}=\sqrt[3]{81}$

$9^{\frac{2}{3}}=\sqrt[3]{27*3}$

$9^{\frac{2}{3}}=\sqrt[3]{3^3*3}$

Pulling out 3 from radical, we will get:

$9^{\frac{2}{3}}=3\sqrt[3]{3}$

Therefore, the simplest form of our given expression would be $3\sqrt[3]{3}$ and 3 will remain under radical.

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