page three

Here's a different radical, also a square root:



We want two numbers which multiply to 75, where one of them is the biggest possible perfect square. Any ideas?

With a little practice, you'll remember which numbers will work.
Here they are:


These numbers were chosen because the square root of 25 is perfect. Which lets us do this:



The final answer then is:



Because the number under the radical sign is smaller ('3' instead of '75'), the root is considered to be simpler.

Here's another one ...


continue ...