SOLUTION: simplify and solve... 3√45 + 6√125 I need work shown so I can understand how to work this type of problem myself. Thanks in advance!

Algebra ->  Radicals -> SOLUTION: simplify and solve... 3√45 + 6√125 I need work shown so I can understand how to work this type of problem myself. Thanks in advance!      Log On


   

Question 592155: simplify and solve...
3√45 + 6√125
I need work shown so I can understand how to work this type of problem myself. Thanks in advance!
Answer by nerdybill(7384) About Me  (Show Source):
You can put this solution on YOUR website!
3√45 + 6√125
3sqrt%2845%29+%2B+6sqrt%28125%29
factor the numbers under the radical:
3sqrt%283%2A3%2A5%29+%2B+6sqrt%285%2A5%2A5%29
3sqrt%283%5E2%2A5%29+%2B+6sqrt%285%5E2%2A5%29
take out perfect squares:
3%2A3sqrt%285%29+%2B+6%2A5sqrt%285%29
9sqrt%285%29+%2B+30sqrt%285%29
39sqrt%285%29