SOLUTION: {{{ sqrt ( 7 )/sqrt ( 2 ) + sqrt ( 2 )/sqrt ( 7 ) }}} = ??? I have tried multiplying both sides by {{{ sqrt ( 2 )/sqrt ( 2 )}}} , multiplying both sides by {{{ sqrt ( 7 )/sqrt (

Algebra ->  Radicals -> SOLUTION: {{{ sqrt ( 7 )/sqrt ( 2 ) + sqrt ( 2 )/sqrt ( 7 ) }}} = ??? I have tried multiplying both sides by {{{ sqrt ( 2 )/sqrt ( 2 )}}} , multiplying both sides by {{{ sqrt ( 7 )/sqrt (      Log On


   



Question 967658: +sqrt+%28+7+%29%2Fsqrt+%28+2+%29+%2B+sqrt+%28+2+%29%2Fsqrt+%28+7+%29+ = ???
I have tried multiplying both sides by +sqrt+%28+2+%29%2Fsqrt+%28+2+%29 , multiplying both sides by +sqrt+%28+7+%29%2Fsqrt+%28+7+%29+ , and 3 other variations on the same theme without success. I know I am probably over complicating things, but I can't remember how to solve this. Please help!

Answer by rothauserc(4718) About Me  (Show Source):
You can put this solution on YOUR website!
(square root(7) / square root(2)) + (square root(2) / square root(7))=
first combine fractions over common denominator which is square root(14)
(square root(7)*square root(7)) + (square root(2)*square root(2)) / square root(14)=
(7 + 2) / square root(14) =
9 / square root(14) =
now multiply numerator and denominator by square root(14)
(9 * square root(14) / 14)