Question

Find the cube root of $166375$ by prime factorization method.

• A. $45$
• B. $55$
• C. $65$
• D. $75$

Answer 1

The correct option is B $55$

On prime factorising, we get,

$166375=5\times 5\times 5\times 11\times 11\times 11$

$=5^3\times {11}^3$.

Then, cube root of $166375$ is:

$\sqrt[3]{3166375}=\sqrt[3]{35^3\times {11}^3}=5\times 11=55$.

Therefore, option $B$ is correct.