Question

Find the cube root of $3375$ by the method of prime factorization.

• A. $15$
• B. $25$
• C. $35$
• D. $55$

Answer 1

Answer: (A)

$15$

On prime factorising, we get,

$3375=\underset{–}{3\times 3\times 3}\times \underset{–}{5\times 5\times 5}$ $=3^3\times 5^3={15}^3$.

Therefore, value of $\sqrt[3]{33375}$ is:

$\sqrt[3]{33375}=\sqrt[3]{3(15{)}^3}=15$.

Therefore, option $B$ is correct.