Question

Find the cube root of 81:3sqrt81

Answer 1

To find the cube root of \( 81 \), we can rewrite it mathematically as \( \sqrt[3]{81} \).

Calculating \( 81 \) as a power of \( 3 \):

\[
81 = 3^4
\]

Now, we can find the cube root:

\[
\sqrt[3]{81} = \sqrt[3]{3^4} = 3^{4/3} = 3^{1 + 1/3} = 3 \cdot 3^{1/3}
\]

Thus, the cube root of \( 81 \) can be expressed as:

\[
3 \cdot \sqrt[3]{3}
\]

Alternatively, you can use a calculator or estimate it, which gives \( \sqrt[3]{81} \approx 4.326 \).

So the final answer is:

\[
\sqrt[3]{81} = 3\sqrt[3]{3} \approx 4.326
\]