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…

Question

asked Oct 6, 2023 177k views

1 Answer

Creighton · Answer 1 · 2023-10-10T10:01:00+0000

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

$3\sqrt[3]{5}$