When we have a radical, we can simplify it by the rule:
So, we have to break down 500 into simpler radicals until we have a radical that can't be broken down. Let's simplify Root(500).
Now, we can break down Root(50) further.
Now, let's break down Root(10) also, thus we have:
We can see:
• Root(25) is 5
,
• Also Root(2)*Root(2) is 2 by using the rule:
Thus, we finally have: