SOLUTION: PLEASE HELP!!!!! {{{ sqrt( 8 ) }}} / {{{ 2sqrt( 5 ) }}}+{{{ sqrt( 6 ) }}}

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Question 97613: PLEASE HELP!!!!!
+sqrt%28+8+%29+ / +2sqrt%28+5+%29+++sqrt%28+6+%29+
Found 2 solutions by mathslover, stanbon:
Answer by mathslover(157) About Me  (Show Source):
You can put this solution on YOUR website!
+sqrt%28+8+%29+%2F+%282sqrt%28+5+%29%2B+sqrt%28+6+%29%29+
Multiply numerator and denominator by %282sqrt%28+5+%29-+sqrt%28+6+%29%29+

%282sqrt%2840%29-sqrt%2848%29%29%2F%28%28+4%2A5+-+6%29%29+
%284sqrt%2810%29-4sqrt%283%29%29%2F%2814%29+
%284%28sqrt%2810%29-sqrt%283%29%29%29%2F%2814%29+
%282%2F7%29+%2A+%28sqrt%2810%29-sqrt%283%29%29

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
sqrt( 8 ) }}} / +2sqrt%28+5+%29+++sqrt%28+6+%29+
-----------------
sqrt(8) / [ 2sqrt(5) + sqrt(6)]
Multiply numerator and denominator by (2 sqrt(5) - sqrt(6)] to get:
= [sqrt(8)*(2 sqrt(5) - sqrt(6)] / [(2sqrt(5) + sqrt(6)]*(2sqrt(5) - sqrt(6)]
= [4sqrt(10) - 4sqrt(3)]/[4*5 - 6]
= [4(sqrt(10)-sqrt(3)]/14
= (2/7)(sqrt(10-sqrt(3))
==================
Cheers,
Stan H.