Step by step
The question
Question: find ∛1000.
3√1000
The small 3 says how many times.
∛1000 asks: which number, times itself 3 times, makes 1000?
? × ? × ? = 1000
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.
6 × 6 × 6 is 216.
7 × 7 × 7 is 343.
8 × 8 × 8 is 512.
9 × 9 × 9 is 729.
10 × 10 × 10 is 1000.
Cubes: 23 = 8, 33 = 27, 43 = 64, 53 = 125, 63 = 216, 73 = 343, 83 = 512, 93 = 729, 103 = 1000
1000 is in the list: 10 × 10 × 10 is 1000.
10 × 10 × 10 = 1000
So ∛1000 = 10.
= 10
2 Check
Let's check: 10 times itself 3 times.
We get 1000.
So the answer is right!
10 × 10 × 10 = 1000
Let's look back.
First: list the cubes.
Last: check.
Answer
= 10