Question

What is the product of 8V5 and 2V30 in simplest radical form?

Answer 1

Given the numbers:

`8\sqrt[]{5},2\sqrt[]{30}`

we will find the product of the numbers:

`\begin{gathered} 8\sqrt[]{5}*2\sqrt[]{30}=8*2*\sqrt[]{5*30}=16\sqrt[]{150} \\ 150=25*6=5^2*6 \\ \\ 16\sqrt[]{150}=16\sqrt[]{5^2*6}=16*5\sqrt[]{6}=80\sqrt[]{6} \end{gathered}`

so, the answer will be:

`80\sqrt[]{6}`