Question

Find the cube root of 81: 81−−√3.(1 point)%0D%0AResponses%0D%0A%0D%0A−9%0D%0Anegative 9%0D%0A%0D%0A27%0D%0A27%0D%0A%0D%0A81−−√3%0D%0Aroot index 3 start root 81 end root%0D%0A%0D%0A9

Answer 1

no

Answer 2

To find the cube root of 81, we are looking for a number \( x \) such that \( x^3 = 81 \).

Calculating the cube root:
\[
\sqrt[3]{81} \approx 4.326
\]

Since this is not a whole number, we can say:

1. \(-9\) is incorrect since \((-9)^3\) is \(-729\).
2. \(27\) is incorrect since \(27^3\) is \(19683\).
3. \(9\) is incorrect since \(9^3\) is \(729\).
4. \(81^{\frac{1}{3}} \approx 4.326\)

Thus, none of the provided responses are correct. The cube root of \(81\) is approximately \(4.326\).

Answer 3

I apologize for any confusion. Let’s clarify the cube root of 81.

The cube root of a number \( x \) is the number \( y \) such that \( y^3 = x \).

For \( 81 \):

\[
y = \sqrt[3]{81}
\]

Calculating it:

\[
81 = 3^4
\]

So:

\[
\sqrt[3]{81} = \sqrt[3]{3^4} = 3^{4/3} = 3^{1.3333...} \approx 4.326
\]

However, if we look for whole number solutions among the options:

- The cube root of 81 is not approximately any of the options provided — specifically \(-9\), \(27\), or \(9\).

If the intention was to find the integer closest or some related operation, let me know, and I will be glad to assist you further!