Question

What is the following product? 3sqrt4 times sqrt3​

Answer 1

`\sqrt[6]{432}`

Explanation:

`\sqrt[3]{4}\cdot√(3)=4^{(1)/(3)}\cdot3^(1)/(2)=(2^2)^(1)/(3)\cdot3^(1)/(2)=(2^(4)/(3))^(1)/(2)\cdot3^(1)/(2)=(2^(4)/(3)\cdot3)^(1)/(2)=(2^4\cdot27)^(1)/(6)=432^(1)/(6)=\sqrt[6]{432}`