Provide an appropriate response.
-Can the following be simplified to an expression involving a single radical? $$x \sqrt [ 3 ] { 135 } + \sqrt [ 3 ] { 2560 x ^ { 3 } }$$
A) No
B) Yes

Question

Quizplus · Accepted Answer

Both terms have a cube root, so we can factor out $\sqrt[3]{x}$ and simplify using the laws of exponents: $$x\sqrt[3]{135}+\sqrt[3]{2560x^3}=x\sqrt[3]{5^3\cdot 3}+\sqrt[3]{2^8\cdot 5x^3}=5x\sqrt[3]{3}+16\sqrt[3]{5x^3}$$ We cannot simplify this further to a single radical.

Provide an Appropriate Response x1353+2560x33x \sqrt [ 3 ] { 135 } + \sqrt [ 3 ] { 2560 x ^ { 3 } }x3135​+32560x3​

Provide an Appropriate Response $x \sqrt [ 3 ] { 135 } + \sqrt [ 3 ] { 2560 x ^ { 3 } }$