Step by step
The question
Question: find ∛27.
3√27
The small 3 says how many times.
∛27 asks: which number, times itself 3 times, makes 27?
? × ? × ? = 27
1 List the cubes
Cubes are a number times itself 3 times.
2 × 2 × 2 is 8.
3 × 3 × 3 is 27.
Cubes: 23 = 8, 33 = 27
Careful!
The cube root is not 27 divided by 3.
9 × 9 × 9 is far more than 27.
Careful: not 3√27 = 9 ✗
27 is in the list: 3 × 3 × 3 is 27.
3 × 3 × 3 = 27
So ∛27 = 3.
= 3
2 Check
Let's check: 3 times itself 3 times.
We get 27.
So the answer is right!
3 × 3 × 3 = 27
Let's look back.
First: list the cubes.
Last: check.
Answer
= 3