Question

question 11
simplify:
\sqrt3{-108x^5y^{18}} = \square simplify and remove all perfect cubes from inside the cube root.
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Explanation:

Step1: Factor into perfect cubes

$\sqrt[3]{-8x^3y^{12} \cdot 16x}$

Step2: Split the cube root

$\sqrt[3]{-8x^3y^{12}} \cdot \sqrt[3]{16x}$

Step3: Simplify perfect cube root

$-2xy^4\sqrt[3]{16x}$

Answer:

$-2xy^4\sqrt[3]{16x}$