Simplify the Radical Expression cube root of 25* cube root of 5

$\sqrt[3]{25} \cdot \sqrt[3]{5}$

Step 1

Combine using the product rule for radicals.

$\sqrt[3]{25 \cdot 5}$

Step 2

Multiply $25$ by $5$ .

$\sqrt[3]{125}$

Step 3

Rewrite $125$ as $5^{3}$ .

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

Step 4

Pull terms out from under the radical.

$5$