Question

Cube root of 3375 by prime factorization

Answer 1

Heya !




Prime factorisation of 3375 = 5 × 5 × 5 × 3 × 3 × 3

=> (5)³ × (3)³




=> 5 × 3




=> 15




Hence,



Cube root of 3375 = 15.



³√3375 = 15

Answer 2

Answer:

Cube root of 3375 is 15.

Step-by-step explanation:

We have to find cube root of 3375 by prime factorization method.

We first find prime factors of 3375.

3375 = 5 × 5 × 5 × 3 × 3 × 3

Now we find cube root and for this we take same triplet as one value.

so,

∛3375 = $\sqrt[3]{5\times5\times5\times3\times3\times3}$

           = 5 × 3

           = 15

Therefore, Cube root of 3375 is 15.