Question

Express in the simplest form

$\sqrt[3]{3-108a^4{b}^3}$

• A. $-3ab.\sqrt[3]{34a}$
• B. $3ab.\sqrt[3]{34a}$
• C. $3ab.\sqrt[3]{3a}$
• D. Not possible

Answer 1

The correct option is A $-3ab.\sqrt[3]{34a}$

$\sqrt[3]{3-108{b^{3}a}^4}=\sqrt[3]{3-(27\ast 4){b^{3}a.a}^3}=\sqrt[3]{3\left(\right({-3)}^3\ast 4){b^{3}a.a}^3}=-3ab\sqrt[3]{34a}$