Simplify the cube root. $$\sqrt [ 3 ] { - 320 a ^ { 3 } }$$

Name: Simplify the cube root. \[\sqrt [ 3 ] { - 320 a ^ { 3 } }\]
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Question

Quizplus · Accepted Answer

To simplify $\sqrt[3]{-320a^3}$, factor -320 and $a^3$ to find their cube roots. -320 can be factored into $-2^6 \times 5$, and $a^3$ is already a perfect cube. The cube root of $-2^6$ is $-2^2 = -4$, and the cube root of $a^3$ is $a$, leaving $\sqrt[3]{5}$ inside the radical. Thus, the simplified form is $-4a\sqrt[3]{5}$.

Simplify the Cube Root −320a33\sqrt [ 3 ] { - 320 a ^ { 3 } }3−320a3​

Simplify the Cube Root $\sqrt [ 3 ] { - 320 a ^ { 3 } }$