Multiplying Radicals

Multiplying Radicals

1. To multiply 2 radicals together simply multiply the numbers inside!

   • Example: √10 * √15 = √150
     • Step 1: Multiply the numbers inside the radical Step 2: Break down the radical you end up with
     • √150 is the same as saying 75 * 2. The 2 cannot be factored anymore but the 75 can. The 75 will turn into 3 * 25. The 3 cannot be factored anymore but the 25 can into 5 * 5.
       • Since there is a pair of 5's the 5 will come out of the radical.
         • The 2 and 3 will stay inside the radical multiplying together to make 6.
           • So our answer would be 5√6
       • So the numbers were are focused on are 2, 3, 5, and 5