Question

Select the correct answer. Simplify the expression.

Answer 1

Answer:

Option D :- $\sf \: 18 {x}^{2} {y}^{2} \sqrt[3]{3 {xy}^{2} }$

Step-by-step explanation:

$\sf \: 3x\sqrt[3]{648 {x}^{4} {y}^{8} }$

transform the equation

$\rightarrow \sf \: 3x\sqrt[3]{ {6}^{3} \times {3x}^{2} \times {xy}^{6} \times {y}^{2} }$

rewrite the expression

$\rightarrow \sf \: 3x \times \sqrt[3]{ {6}^{3}} \times\sqrt[3]{ {3x}^{2}} \times \sqrt[3]{ {xy}^{6} } \times \sqrt[3]{{y}^{2} }$

Simplify the radical expression

$\rightarrow \sf \: 3x \times {6xy}^{2} \sqrt[3]{3xy {}^{2} }$

Multiply

$\sf \: 18 {x}^{2} {y}^{2} \sqrt[3]{3 {xy}^{2} }$