Question

simplify the expression $3x \sqrt[3]{648 {x}^{4} {y}^{8} }$

Answer 1

SOLUTION:

Case: Simplification

Method:

$\begin{gathered} 3x\sqrt[3]{648x^4y^8} \\ 3x\times648^{\frac{1}{3}}\times x^{\frac{4}{3}}\times y^{\frac{8}{3}} \\ 3x\times\sqrt[3]{216\times3}\times\sqrt[3]{x^3\times x}\times\sqrt[3]{y^6\times y^2} \\ 3x\times6\times\sqrt[3]{3}\times x\times\sqrt[3]{x}\times y^2\times\sqrt[3]{y^2} \\ 3x\times6\times x\times y^2\times\sqrt[3]{3}\times\sqrt[3]{x}\times\sqrt[3]{y^2} \\ 18x^2y^2\sqrt[3]{3xy^2} \end{gathered}$

Final answer:

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