Evaluate cube root of 5* cube root of 25

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

Step 1

Combine using the product rule for radicals.

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

Step 2

Write the expression using exponents.

Multiply $5$ by $25$ .

$\sqrt[3]{125}$

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

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

Step 3

Pull terms out from under the radical, assuming real numbers.

$5$