Question

$\sqrt[3]{3-1331}=$?

• A. $36$
• B. $-11$
• C. $-21$
• D. $16$

Answer 1

The correct option is B $-11$

On prime factorising, we get,

$1331=\underset{–}{11\times 11\times 11}$ $={11}^3$.

Then, $-1331$ $=(-11{)}^3$.

Therefore, value of $\sqrt[3]{3-1331}$ is:

$\sqrt[3]{3-1331}=\sqrt[3]{3(-11{)}^3}=-11$.

Therefore, option $B$ is correct.