anonymous 5 years ago combine and simplify (1/3)(cube root of 81)

1. anonymous

$\sqrt[3]{81}=\sqrt[3]{9\times9}=\sqrt[3]{3\times3\times3\times3}$

2. anonymous

So now we can pull a three out from under the radical since it is a cube root and we have at least 3 3s under the radical

3. anonymous

$\sqrt[3]{3\times3\times3\times3}=3\sqrt[3]{3}$

4. anonymous

Now we multiply this by 1/3$1/3\times3\sqrt[3]{3}=\sqrt[3]{3}$

5. anonymous

Hope this helps :)