Question

Find

$\sqrt[3]{3-125}\times \sqrt[3]{33375}$

• A. $-75$
• B. $75$
• C. $20$
• D. $-20$

Answer 1

The correct option is A $-75$

$\sqrt[3]{3-125}\times \sqrt[3]{33375}$

$=\sqrt[3]{3-5\times 5\times 5}\times \sqrt[3]{315\times 15\times 15}\therefore {(-1)}^{\frac{1}{3}}=-1$

$=-5\times 15=-75$

Hence, this is the answer.