Radicals

Radicals

1. divisibility and factors

   • to find out if a number is divisible by 3 just add all the numbers and then see if that number is divisible by 3
     • example; 319 you would add 3+1+9=13 319 is not divisible by 3 because 13 cant be divided by 3
     • 319 is not divisible by 3 because 3+1+9=13 and 13 is not divisible by 3

2. factors and factorization

   • factors are the number that a certain number is divisible by.
   • you could also solve these problems by doing factor trees

3. The greatest common factor (GCF) is the the biggest number that 2 certain numbers are divisible by

   • Example: 20 and 10
     • 20: 1,2,4,5,10,20
       • 10:: 1,2,5,10
         • The GCF is 10

4. Simplifying radicals

   • You need to find a pair a numbers that will multily to equal it. Then make sure that at least one of the numbers is a perfect square.

5. Adding and subtracting radicals

   • You just add the square roots unless they're not the same. Then you have to go through the process of simplifying.
   • 3 square root of 3 - square root of 27
     • 3 square root of 3 minus square root of 9 x 3
       • 3 square root - three square root of three
         • Equals 0

6. multiplying radicals

   • When multiplying radicals, you must multiply the numbers OUTSIDE the radicals and then multiply the numbers INSIDE the radicals.