Question

Find the value of: $\sqrt[3]{34096}$.

• A. $46$
• B. $36$
  
• C. $26$
• D. $16$

Answer 1

The correct option is D $16$

On prime factorising, we get,

$4096=\underset{–}{2\times 2\times 2}\times \underset{–}{2\times 2\times 2}\times \underset{–}{2\times 2\times 2}\times \underset{–}{2\times 2\times 2}$

$=2^3\times 2^3\times 2^3\times 2^3$.

Then, value of $\sqrt[3]{34096}$ is:

$\sqrt[3]{34096}=\sqrt[3]{32^3\times 2^3\times 2^3\times 2^3}=2\times 2\times 2\times 2=16$.

Therefore, option $D$ is correct.