Question

topic: squares, cubes, and beyond
progress:
the movement of the progress bar may be uneven because questions can be worth more or
simplify: (sqrt3{81a^8})
(27a^4)
(9a^4)
(3sqrt3{3a^8})
(3a^2sqrt3{3a^2})

Explanation:

Step1: Factor 81a⁸

81a⁸ = 27×3×a⁶×a² = 3³×3×(a²)³×a²

Step2: Split the cube root

$\sqrt[3]{3³×3×(a²)³×a²} = \sqrt[3]{3³}×\sqrt[3]{(a²)³}×\sqrt[3]{3a²}$

Step3: Simplify perfect cubes

$3×a²×\sqrt[3]{3a²} = 3a²\sqrt[3]{3a²}$

Answer:

3a²√[3]{3a²}