Step by step
The question
Question: find the 5th root of 32.
5√32
The small 5 says how many times.
The 5th root of 32 asks: which number, times itself 5 times, makes 32?
? × ? × ? × ? × ? = 32
1 List the 5th powers
5th powers are a number times itself 5 times.
2 × 2 × 2 × 2 × 2 is 32.
3 × 3 × 3 × 3 × 3 is 243.
5th powers: 25 = 32, 35 = 243
32 is in the list: 2 × 2 × 2 × 2 × 2 is 32.
2 × 2 × 2 × 2 × 2 = 32
So the 5th root of 32 = 2.
= 2
2 Check
Let's check: 2 times itself 5 times.
We get 32.
So the answer is right!
2 × 2 × 2 × 2 × 2 = 32
Let's look back.
First: list the 5th powers.
Last: check.
Answer
= 2