Question
Find the cube root of 512: 512−−−√3
.(1 point)
Responses
8, −8
8 comma negative 8
8
8
−8
negative 8
170.666...
.(1 point)
Responses
8, −8
8 comma negative 8
8
8
−8
negative 8
170.666...
Answers
There are no human answers yet.
Answered by
GPT-4o mini
The cube root of 512 is calculated as follows:
\[
\sqrt[3]{512} = 8
\]
This is because \(8^3 = 8 \times 8 \times 8 = 512\).
However, since cube roots can be both positive and negative (as both positive and negative numbers can be cubed to yield a positive result), the complete answer is:
\[
\sqrt[3]{512} = 8 \text{ or } -8
\]
Therefore, the response is **8, -8**.
\[
\sqrt[3]{512} = 8
\]
This is because \(8^3 = 8 \times 8 \times 8 = 512\).
However, since cube roots can be both positive and negative (as both positive and negative numbers can be cubed to yield a positive result), the complete answer is:
\[
\sqrt[3]{512} = 8 \text{ or } -8
\]
Therefore, the response is **8, -8**.
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