Question

find the cube root of 8 by factorization method​

Answer 1

Find Prime Factorization of given number and we get: 

Prime Factorization of 8 = 2 X 2 X 2 

Step 2: Make one group of three same prime factors and we get: 

= 2 X 2 X 2 

Step 3: Collect one prime factor from each group 

= 2 

Step 5: Resultant number is the cube root of the given number and we get: 

2 is the cube root of 8 

Or we can write it as: 

∛ 8 = 2 

Example 2: Find cube root of 216 using prime factorization method. 

Solution: Steps are as follows: 

Step 1: Find Prime Factorization of given number and we get: 

Prime Factorization of 216 = 2 X 2 X 2 X 3 X 3 X 3 

Step 2: Make one group of three same prime factors and we get: 

= 2 X 2 X 2 X 3 X 3 X 3 

Step 3: Collect one prime factor from each group 

= 2 X 3 

Step 4: Multiply the collected prime factors and we get: 

= 6 

Step 5: Resultant number is the cube root of the given number 

6 is the cube root of 216 

Or we can write it as: 

∛ 216 = 6 

Answer 2

Step-by-step explanation:

2|8

2|4

2|2

3√2*2*2

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