Radicals

Radicals

1. Factoring

   • Divisibility and Factors
     • Divide the bigger number by the smaller number, if it is a whole number, then it is a factor
   • Greatest Common Factor
     • List out the factors of both numbers and find the greatest one that both have in common
     • If it has variables, look at the one that they have in common and add it at the end of the answer
   • Factors and Factorization
     • Create a factor tree and simplify the prime numbers into a smaller equation

2. Radicals

   • Simplifying Radicals
     • When simplifying, find the square root of the number that's inside the "hut"
     • If it's not perfect, make a factor tree and put the choices in a "hut" and simplify
   • Adding and Subtracting Radicals
     • Add the outside numbers together when the square roots are the same
     • Simplify radicals when the square roots are not equal, then add
     • Rewrite radicals in simplest form for subtracting
   • Multiplying Radicals
     • When multiplying square roots together, multiply the numbers inside together and then the ones on the outside together
     • Breakdown the square root. If you have a pair of numbers, move it to the outside and multiply the remaining together and make that the new square root