Question

Multiply : $\sqrt[3]{32}\times \sqrt[4]{43}$

• A. $\sqrt[12]{126}$
• B. $\sqrt[12]{1272}$
• C. $\sqrt[12]{12648}$
• D. $\sqrt[12]{12432}$

Answer 1

The correct option is D $\sqrt[12]{12432}$

$\sqrt[3]{32}\sqrt[4]{43}=2^{\frac{1}{3}}{3}^{\frac{1}{4}}={\left(2^4\right)}^{\frac{1}{12}}(3^3{)}^{\frac{1}{12}}={\left(432\right)}^{\frac{1}{12}}=\sqrt[12]{12432}$

Therefore the correct option is $D$