Question

What is the value of $\sqrt[3]{327}\times \sqrt[3]{3-27}$ ?

• A. $-9$
• B. $-27$
• C. $9$
• D. $0$

Answer 1

The correct option is A $-9$

On prime factorising, we get,

$27=\underset{–}{3\times 3\times 3}$ $=3^3$.

Then, $-27$ $=(-3{)}^3$.

Therefore, value of $\sqrt[3]{327}\times \sqrt[3]{3-27}$ is:

$\sqrt[3]{327}\times \sqrt[3]{3-27}$

$=\sqrt[3]{33^3}\times \sqrt[3]{3(-3{)}^3}$

$=3\times (-3)=-9$.

Therefore, option $A$ is correct.