Question

$\sqrt[3]{3-226981}=$?

• A. $-51$
• B. $-61$
• C. $-67$
• D. $-57$

Answer 1

Answer: (B)

$-61$

On prime factorising, we get,

$226981=\underset{–}{61\times 61\times 61}$ $={61}^3$.

Then, $-226981$ $=(-61{)}^3$.

Therefore, value of $\sqrt[3]{3-226981}$ is:

$\sqrt[3]{3-226981}=\sqrt[3]{3(-61{)}^3}=-61$.

Therefore, option $B$ is correct.