Question

Find the cube root of $-3375$.

• A. $-25$
• B. $-15$
• C. Not defined
  
• D. None of these
  

Answer 1

The correct option is B $-15$

On prime factorising, we get,

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

Then, $-3375$ $=(-15{)}^3$.

Therefore, value of $\sqrt[3]{3-3375}$ is:

$\sqrt[3]{3-3375}=\sqrt[3]{3(-15{)}^3}=-15$.

Therefore, option $B$ is correct.