Explanation: A number with a square monumentalmath sign is a "radical". The first step to "simplify completely" means to separate the number inside the square monumentalmath sign into 2 factors with one factor being the largest 'perfect square' factor. The second step is to separate the square monumentalmath out from beneath the square monumentalmath sign.

Examples:

Directions: Use the steps shown above to "simplify completely" the radical in each problem. Strive to be able to accomplish the steps smoothly and then strive to increase your speed. Good luck and enjoy the challenge!

...