select the correct answer. which expression is equivalent to $32sqrt3{18y}div8sqrt3{3y}$, if $y\neq0$?\na…

select the correct answer. which expression is equivalent to $32sqrt3{18y}div8sqrt3{3y}$, if $y\neq0$?\na. $12sqrt3{2y^{2}}$\nb. $4sqrt3{6}$\nc. $4sqrt3{15y}$\nd. $4sqrt3{6y}$

select the correct answer. which expression is equivalent to $32sqrt3{18y}div8sqrt3{3y}$, if $y\neq0$?\na. $12sqrt3{2y^{2}}$\nb. $4sqrt3{6}$\nc. $4sqrt3{15y}$\nd. $4sqrt3{6y}$

Answer

Answer:

B. $4\sqrt[3]{6}$

Explanation:

Step1: Divide the coefficients

$32\div8 = 4$

Step2: Divide the cube - root terms

$\frac{\sqrt[3]{18y}}{\sqrt[3]{3y}}=\sqrt[3]{\frac{18y}{3y}}$

Step3: Simplify the fraction inside the cube - root

$\sqrt[3]{\frac{18y}{3y}}=\sqrt[3]{6}$

Step4: Combine the results

$4\times\sqrt[3]{6}=4\sqrt[3]{6}$