Question

Find the cube root of 15625 by the prime fachenization method

Answer 1

15625 = 5×5×5×5×5×5

³√15625 = ³√(5×5×5×5×5×5)

= 5×5

= 25 Answer

Answer 2

Answer:

The cube root of 15625 is 25

Step-by-step explanation:

We need to find the cube root of 15625.

First of all, we will write all the factors of the given number

=> 15625 = 5 × 5 × 5 × 5 × 5 × 5

For cube roots we will pair these factors in groups of three

=> 15625 = (5 × 5 × 5) × (5 × 5 × 5)

=> ∛15625 = ∛(5 × 5 × 5) × ∛(5 × 5 × 5)

=> ∛15625 =  5 × 5

=> ∛15625 =  25

Therefore, the cube root of 15625 is 25