Denaya

Title: REDUCING RADICALS

Radicals- Aradical is a number that takes place under a root sign. A root sign is a symbol that looks like this. When dealing with radicals their are such numbers called perfect squares. A perfect square is numbers that are made up of whole numbers, once we take the square root of them.

Example of perfect squares: Example of non perfect square: When dealing with these type of squares this is when you need to reduce them.

Example of reducing a non perfect square: Factors of 72: 1,2,3,4,6,9,12,18,24,36

Steps: The reason why i choose 36 as my number to reduce is because when reducing radicals you always want to take the highest perfect square factor. Since 36*2 is equal to 72 thats why we both have them under the root sign. In the next section I split them apart and gave them their own root signs to be under, (you don't have to this but this is the way i'm more comfortable with). 36 is an perfect square so because of that you can easily find the square root which is 6. Since 6 can't be reduce any further you put the 6 with the square root of 2. Since 2 isn't an perfect square that has an great perfect square number factor it can't be reduced so we just leave it the way it is under the square root.