simplify. $sqrt3{375} + sqrt3{81}$

Explanation:

Step1: Factor radicands for cubes

$\sqrt[3]{125 \times 3} + \sqrt[3]{27 \times 3}$

Step2: Extract perfect cube factors

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

Step3: Combine like radical terms

$(5+3)\sqrt[3]{3}$

Answer:

$8\sqrt[3]{3}$