Question

question

simplify: \\(\sqrt3{625}\\).

provide your answer below:

Explanation:

Find the prime factorization of the radicand

$$ 625 = 5^4 = 5^3 \times 5 $$

Apply the product property of radicals

$$ \sqrt[3]{625} = \sqrt[3]{5^3 \times 5} = \sqrt[3]{5^3} \times \sqrt[3]{5} $$

Simplify the perfect cube factor

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

Answer:

Simplify: \(\sqrt[3]{625}\).

Provide your answer below:
<blank>\(5\sqrt[3]{5}\)</blank>