SOLUTION: Subtract. Simplify by collecting like radical terms if possible. 5 square root of 18 - 7 square root of 2 = Simpify and use radicals as needed. Thanks for your help.

Algebra ->  Radicals -> SOLUTION: Subtract. Simplify by collecting like radical terms if possible. 5 square root of 18 - 7 square root of 2 = Simpify and use radicals as needed. Thanks for your help.       Log On


   

Question 322952: Subtract. Simplify by collecting like radical terms if possible.
5 square root of 18 - 7 square root of 2 =
Simpify and use radicals as needed.
Thanks for your help.
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
Simplify by collecting like radical terms if possible.
5 square root of 18 - 7 square root of 2 =
Simplify and use radicals as needed.
:
5sqrt%2818%29+-+7sqrt%282%29
Factor inside the 1st radical to reveal a perfect square
5sqrt%289%2A2%29+-+7sqrt%282%29
Extract that perfect square
5%2A3sqrt%282%29+-+7sqrt%282%29
:
15sqrt%282%29+-+7sqrt%282%29
Now we have like terms, just do the math, and we have:
8sqrt%282%29
:
:
Check this on your calc: enter: 5sqrt%2818%29+-+7sqrt%282%29 = 11.313
and enter 8sqrt%282%29 = 11.313 also