Math  /  Algebra

Question5 Is the expression 3843\sqrt[3]{-384} equivalent to 433-4 \sqrt[3]{3} ?
Show your work here Hint: To add the square root symbol ( )\sqrt{\square}), type "root" Yes No

Studdy Solution
Compare the two expressions:
We have:
3843=463\sqrt[3]{-384} = -4 \cdot \sqrt[3]{6}
And:
433-4 \sqrt[3]{3}
Clearly, 463-4 \cdot \sqrt[3]{6} is not equal to 433-4 \cdot \sqrt[3]{3}, as 6333\sqrt[3]{6} \neq \sqrt[3]{3}.
Therefore, the expression 3843\sqrt[3]{-384} is not equivalent to 433-4 \sqrt[3]{3}.
The answer is No\boxed{\text{No}}.

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