 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 let's 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 ... |