SOLUTION: Hello, I'm having trouble with this: {{{ sqrt(2)/2 - sqrt(3)/3 - sqrt(2) }}} thanks.

Algebra ->  Radicals -> SOLUTION: Hello, I'm having trouble with this: {{{ sqrt(2)/2 - sqrt(3)/3 - sqrt(2) }}} thanks.      Log On


   

Question 811092: Hello, I'm having trouble with this:
+sqrt%282%29%2F2+-++sqrt%283%29%2F3+-+sqrt%282%29+
thanks.
Answer by erica65404(394) About Me  (Show Source):
You can put this solution on YOUR website!
Make all the denominators the same.
+sqrt%282%29%2F2+%2A+3%2F3+-+sqrt%283%29%2F3+%2A+2%2F2+-+sqrt%282%29+%2A+6%2F6+
+%283%2Asqrt%282%29%29%2F6+-+2%2Asqrt%283%29%2F6+-+6%2Asqrt%282%29%2F6
All the denominators are the same so we can now combine them.
Combining sqrts is like combining variables. You can only combine the numbers that have the same variable, or in this case the same sqrt.
+%28-3%2Asqrt%282%29%29%2F6+-+2%2Asqrt%283%29%2F6
now we simplify
+-sqrt%282%29%2F2+-+sqrt%283%29%2F3+