Question

use the properties of radicals to simplify the expression.
$\frac{sqrt5{486}}{sqrt5{2}} = \square$

Explanation:

Step1: Combine radicals into one

$\frac{\sqrt[5]{486}}{\sqrt[5]{2}} = \sqrt[5]{\frac{486}{2}}$

Step2: Simplify the fraction inside

$\sqrt[5]{\frac{486}{2}} = \sqrt[5]{243}$

Step3: Rewrite radicand as power

$\sqrt[5]{243} = \sqrt[5]{3^5}$

Step4: Evaluate the fifth root

$\sqrt[5]{3^5} = 3$

Answer:

3