1. Cube root of fraction and decimal

2. Cube root of a fraction
Cube root of fraction =

3. 1. Find the cube root of by prime factorization method. Solution:
To find cube root of fraction, we need to find cube root of
numerator and denominator separately
Steps to find cube root of 125
Step 1: Factorize into prime factors, we get
Step 2: Make a group of 3 factors.
Step 3: Take out one factors from each pair
125 = 5 x 5 x 5
∛ 125 = 5
Therefore, ∛ 125 = 5

4. Steps to find cube root of 216
Step 1: Factorize into prime factors, we get
Step 2: Make a group of 3 factors.
Step 3: Take out one factors from each pair
216 = 2 x 2 x 2 x 3 x 3 x 3
216 = 2 x 2 x 2 x 3 x 3 x 3
∛216 = x = 6
Therefore, ∛216 = 6

5. 2. Find the cube root of 3.375 by prime factorization method.
Solution:
Step 1: First we need to convert into whole number
We have 3 decimal points
We have to multiply and divide it by 1000
Steps to find cube root of 3375
Step 1: Factorize into prime factors, we get
Step 2: Make a group of 3 factors.
Step 3: Take out one factors from each pair
3375 = 3 x 3 x 3 x 5 x 5 x 5
∛ 3375 = x = 15
Therefore, ∛ 3375 = 15

6. Steps to find cube root of 1000
Step 1: Factorize into prime factors, we get
Step 2: Make a group of 3 factors.
Step 3: Take out one factors from each pair
1000 = 2 x 2 x 2 x 5 x 5 x 5
1000 = 2 x 2 x 2 x 5 x 5 x 5
∛1000 = x = 10
Therefore, ∛1000 = 10

7. Try These
1. Evaluate
2. Evaluate
3. Evaluate