Step by step
The question
Question: find ∛125.
3√125
The small 3 says how many times.
∛125 asks: which number, times itself 3 times, makes 125?
? × ? × ? = 125
1 List the cubes
Cubes are a number times itself 3 times.
2 × 2 × 2 is 8.
3 × 3 × 3 is 27.
4 × 4 × 4 is 64.
5 × 5 × 5 is 125.
Cubes: 23 = 8, 33 = 27, 43 = 64, 53 = 125
125 is in the list: 5 × 5 × 5 is 125.
5 × 5 × 5 = 125
So ∛125 = 5.
= 5
2 Check
Let's check: 5 times itself 3 times.
We get 125.
So the answer is right!
5 × 5 × 5 = 125
Let's look back.
First: list the cubes.
Last: check.
Answer
= 5