(For this lesson, the term "radical" will refer only to "square root".)
When working with the simplification of radicals you must remember some basic information about perfect square numbers.
You need to remember:
While there are certainly many more perfect squares, the ones appearing in the charts above are the ones most commonly used.
1. Find the largest perfect square which will divide evenly into the number under your radical sign. This means that when you divide, you get no remainders, no decimals, no fractions.
3. Give each number in the product its own radical sign.
4. Reduce the "perfect" radical which you have now created.
5. You now have your answer.
If instead of choosing 16 as the largest perfect
square to start this process,
this answer is not in simplest form.
If you do not choose the largest perfect square to start the process, you will have to repeat the process.
Don't let the number in
front of the radical distract you.
The largest perfect square dividing evenly into 50 is 25.
Reduce the "perfect" radical and multiply times the 3 (who is "along for the ride")