Second Daily Tasks Mind Map

Second Daily Tasks Mind Map

1. Adding and Subtracting Radicals

   • When adding and subtracting radicals, you need to simplify all of your radicals and then add like radicals. (shown in Ex.)
     • Like radicals are radicals with the same number in the square sign.
     • Never add your two values together before simplifying because it will give you an incorrect answer and it might not let you simplify with perfect squares.
   • Examples

2. Simplifying Radicals

   • Examples
     • • The red numbers are all perfect squares. These are needed to properly simplify the radical
         • Perfect squares are the sum of two of the same number. Some examples of perfect squares include 4,9,16,25,36,49,64,81,and 100
   • Step One
     • To simplify a radical, you need to find two numbers that multiply to get the number inside of the square root symbol. One of these two numbers should be a perfect square.
     • Step two
       • Once these two numbers have been found, take the number that is a perfect square and find the square root of that number. Be sure to add a plus or minus symbol in front of the simplified number to show that the number can be either positive or negative
         • The plus or minus sign is needed because a negative times a negative creates a positive, just as a positive and positive make a positive number.
       • Step Three
         • Check to see if the number still inside of the radical can be simplified using the same processes as before. If it cant be simplified you can end here. If it can be simplified further, please move on to step four.
           • (be sure to keep the format as as a*√b as you put your simplified equation together)
         • Step Four
           • If you have made it here, your radical should be able to simplify further. This should be done using the same processes as used in step two. After this has been done you should have two numbers out side of the radical symbols. Multiply these two numbers together to get your final number outside of the radical.

3. Multiplying Radicals

   • Examples
   • Step one
     • Multiply both of your radicals together to get a combined number, which should also be under a radical symbol.
     • Step two
       • Once you get this number, simplify it as far as you can (shown in green sections) and remember to keep your final answer in the correct format.

Images and files in the map