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multiply if possible. then simplify. \\(\\sqrt3{25} \\cdot \\sqrt3{5}\\…

Question

multiply if possible. then simplify.
\\(\sqrt3{25} \cdot \sqrt3{5}\\)
\\(\sqrt3{25} \cdot \sqrt3{5} = \square\\)

Explanation:

Step1: Combine cube roots

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

Step2: Multiply radicands

$\sqrt[3]{25 \times 5} = \sqrt[3]{125}$

Step3: Simplify cube root

$\sqrt[3]{125} = 5$

Answer:

5