SOLUTION: 8 over sqrt 14 +1 (note +1 is not under the radical, but 8 is over everything) {{{ 8/ (sqrt (14) + 1 )}}} Rationalize the denominator, type an exact answer, using radicals

Algebra ->  Radicals -> SOLUTION: 8 over sqrt 14 +1 (note +1 is not under the radical, but 8 is over everything) {{{ 8/ (sqrt (14) + 1 )}}} Rationalize the denominator, type an exact answer, using radicals      Log On


   

Question 407969: 8 over sqrt 14 +1 (note +1 is not under the radical, but 8 is over everything)
+8%2F+%28sqrt+%2814%29+%2B+1+%29
Rationalize the denominator, type an exact answer, using radicals as needed.
Thank you!!!
Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
+8%2F+%28sqrt+%2814%29+%2B+1+%29
+8%2F%281+%2B+sqrt%2814%29%29
--------
Multiply by (1-sqrt(14))/(1-sqrt(14))
= 8%281-sqrt%2814%29%29%2F%281+-+14%29
= -%288+-+8sqrt%2814%29%29%2F13
or %288sqrt%2814%29-8%29%2F13