Question

multiply and simplify: $sqrt3{6x^2y} cdot sqrt3{36xy^2}$ assume all variables to represent positive values. question help: video

Explanation:

Step1: Combine cube roots

$\sqrt[3]{6x^2y \cdot 36xy^2}$

Step2: Multiply inside the root

$\sqrt[3]{216x^{3}y^{3}}$

Step3: Simplify the cube root

$\sqrt[3]{6^3x^3y^3} = 6xy$

Answer:

$6xy$