Question

$\sqrt[3]{3(12167\times 1728)}=$?

• A. $276$
• B. $318$
• C. $216$
• D. $356$

Answer 1

The correct option is A $276$

Given, to find $\sqrt[3]{312167\times 1728}$.

Prime factorising, we get,

$12167=23\times 23\times 23={23}^3$

and $1728$ $=2\times 2\times 2\times 2\times 2\times 2\times 3\times 3\times 3=2^3\times 2^3\times 3^3.$

Then,

$\sqrt[3]{312167\times 1728}$

$=\sqrt[3]{3{23}^3}\times \sqrt[3]{32^3\times 2^3\times 3^3}$.

$=23\times 2\times 2\times 3$

$=276$.

Hence, option $A$ is correct.