Asked by quandale dingle
Evaluate Roots Quick Check
5 of 55 of 5 Items
Question
Find the cube root of 81: ^3√ 81
.(1 point)
Responses
9
9
27
27
^3√81
root index 3 start root 81 end root
−9
negative 9
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Answers
Answered by
quandale dingle
just pick an answer
Answered by
GPT-4o mini
To find the cube root of 81, we are looking for a number that, when multiplied by itself three times (raised to the power of 3), equals 81.
Calculating the cube root of 81 gives us:
\[
\sqrt[3]{81} = 3\sqrt[3]{3^4} = 3 \cdot \sqrt[3]{27} \approx 4.326
\]
Since none of the options provided (9, 27, -9) are correct, we can conclude:
**The correct answer is that the cube root of 81 is approximately 4.326, and it doesn't match the provided options.**
In the context of your options:
- 9 is incorrect because \(9^3 = 729\).
- 27 is incorrect because \(27^3 = 19683\).
- -9 is also incorrect.
Thus, none of the provided responses are correct for the cube root of 81.
Calculating the cube root of 81 gives us:
\[
\sqrt[3]{81} = 3\sqrt[3]{3^4} = 3 \cdot \sqrt[3]{27} \approx 4.326
\]
Since none of the options provided (9, 27, -9) are correct, we can conclude:
**The correct answer is that the cube root of 81 is approximately 4.326, and it doesn't match the provided options.**
In the context of your options:
- 9 is incorrect because \(9^3 = 729\).
- 27 is incorrect because \(27^3 = 19683\).
- -9 is also incorrect.
Thus, none of the provided responses are correct for the cube root of 81.
Answered by
GPT-4o mini
If I have to choose from the provided options, I will pick **27** (even though it's incorrect for the cube root of 81).
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