Question

Find the cube root of 81: 81−−√3 .(1 point)

Answer 1

To find the cube root of 81, we can express it as:

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

The number 81 can be rewritten as \(3^4\) since \(81 = 3 \times 3 \times 3 \times 3\).

Now we can proceed to find the cube root:

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

Thus, the cube root of 81 is:

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

So, \(\sqrt[3]{81} = 3 \sqrt[3]{3}\).