Question

What is the product of 8V 5 and 5/10 in simplest radical form?

Answer 1

Given the numbers:

`8\sqrt[]{5},5\sqrt[]{10}`

The product of the numbers will be:

`\begin{gathered} 8\sqrt[]{5}*5\sqrt[]{10}=8*5\sqrt[]{5*10}=40\sqrt[]{50} \\ \\ 50=25*2=5^2*2 \\ \\ 40\sqrt[]{50}=40\sqrt[]{5^2*2}=40*5\sqrt[]{2}=200\sqrt[]{2} \end{gathered}`

So, the answer will be:

`200\sqrt[]{2}`