SOLUTION: hello, i really need help on solving this problem can anyone help? 2+8sqrt(10) divided by 2-6sqrt(2)

Algebra ->  Square-cubic-other-roots -> SOLUTION: hello, i really need help on solving this problem can anyone help? 2+8sqrt(10) divided by 2-6sqrt(2)       Log On


   

Question 173207: hello, i really need help on solving this problem
can anyone help?
2+8sqrt(10) divided by 2-6sqrt(2)
Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
2+8sqrt(10) divided by 2-6sqrt(2)
---------------
=%282%2B8sqrt%2810%29%29%2F%282-6%2Asqrt%282%29%29
=%281%2B4sqrt%2810%29%29%2F%281-3%2Asqrt%282%29%29 Divided by 2
To get the radical out of the DEN, multiply by its conjugate (1 + 3sqrt(2))
=%281%2B4sqrt%2810%29%29%2F%281-3%2Asqrt%282%29%29
=
=%281%2B4%2Asqrt%2810%29%29%2A%281+%2B+3sqrt%282%29%29%2F19
=%281+%2B+4sqrt%2810%29+%2B+3sqrt%282%29+%2B+12sqrt%2820%29%29%2F19
=%281+%2B+4sqrt%2810%29+%2B+3sqrt%282%29+%2B+24sqrt%285%29%29%2F19