Question

Find the product.

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

• A. $\sqrt[12]{12432}$
• B. $\sqrt[12]{12424}$
• C. $\sqrt[12]{12430}$
• D. $\sqrt[12]{12428}$

Answer 1

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

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

$2^{1/3}\times 3^{1/4}$

LCM of 3 and 4 = 12

$=2^{4/12}\times 3^{3/12}$

$=(2^4\times 3^3{)}^{1/12}$

$=\sqrt[12]{122^4\times 3^3}$

$=\sqrt[12]{12432}$