SOLUTION: Subtract. Simplify by collecting like radical terms if possible. 2sqrt(18)-2sqrt(2) (Simplify your answer. Type an exact answer, using radicals as needed.)

Algebra ->  Square-cubic-other-roots -> SOLUTION: Subtract. Simplify by collecting like radical terms if possible. 2sqrt(18)-2sqrt(2) (Simplify your answer. Type an exact answer, using radicals as needed.)      Log On


   

Question 474813: Subtract. Simplify by collecting like radical terms if possible.
2sqrt(18)-2sqrt(2)
(Simplify your answer. Type an exact answer, using radicals as needed.)
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
Subtract. Simplify by collecting like radical terms if possible.
2sqrt%2818%29-2sqrt%282%29
:
Factor inside the 1st radical to reveal a perfect square
2sqrt%289%2A2%29-2sqrt%282%29
Extract the square root of 9
2%2A3sqrt%282%29-2sqrt%282%29
6sqrt%282%29-2sqrt%282%29
now we have like terms so just subtract, leaving us with:
4sqrt%282%29
:
:
you can always check these type of problems in a good calc
enter the original problem:2sqrt%2818%29-2sqrt%282%29 results in 5.6568..
enter your simplified expression 4sqrt%282%29 results in 5.6568, the same so you know it's right.