Question

I am so confused on the algebra problem.
`\sqrt[3]{135}`I have to simplify this. please help me and explain the answer you get because I have been having a lot of trouble with this subject.

Answer 1

The given expression is

`\sqrt[3]{135}`

First, we have to express 135 as prime factors.

135 | 5

27 | 3

9 | 3

3 | 3

1

Then, we express all 3s as power.

`135=5\cdot3^3`

Then, we use this inside the root.

`\sqrt[3]{5\cdot3^3}`

The power can get out the root because it has the same power as the root.

Therefore, the final expression is

`3\sqrt[3]{5}`