Let’s use an example, root40
Now, let’s find all the factors of 40 .
1, 2, 4, 5, 8, 10, 20, 40.
Now, let’s pick the greatest factor that is also a perfect square, meaning that if we took the square root of it, we would get a nice whole number.
In this case, the greatest factor that is a perfect square is 4.
Now, we can write the radical as
root4 • root10
Because 4 • 10 is 40, our original radical
Now we can simplify this to 2•root10.
