Question

1. $\frac{sqrt3{12ab^{3}c^{2}}}{sqrt3{10a^{3}bc}}$

Explanation:

Step1: Combine cube roots

$\sqrt[3]{\frac{12ab^3c^2}{10a^3bc}}$

Step2: Simplify fraction inside

$\sqrt[3]{\frac{6b^2c}{5a^2}}$

Step3: Rationalize denominator

$\frac{\sqrt[3]{150ab^2c}}{5a}$

Answer:

$\frac{\sqrt[3]{150ab^2c}}{5a}$