SOLUTION: Please show me how to simplify: {{{ (sqrt6-sqrt5)^2} }}

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Question 630817: Please show me how to simplify:
Please+show+me+how+to+simplify%3A%0D%0A (sqrt6-sqrt5)^2} }}
Found 2 solutions by stanbon, MathTherapy:
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
(sqrt6-sqrt5)^2
-----
= (sqrt(6) - sqrt(5))(sqrt(6) - sqrt(5))
-----
= sqrt(6)(sqrt(6)-sqrt(5)) - sqrt(5)(sqrt(6)-sqrt(5))
-----
= 6 - sqrt(30) - sqrt(3) - 5
---
= 1 - 2*sqrt(30)
====================
Cheers,
Stan H.
====================

Answer by MathTherapy(10556) About Me  (Show Source):
You can put this solution on YOUR website!

Please show me how to simplify:
%28sqrt%286%29+-+sqrt%285%29%29%5E2

%28sqrt%286%29+-+sqrt%285%29%29%5E2 ------ %28sqrt%286%29+-+sqrt%285%29%29%28sqrt%286%29+-+sqrt%285%29%29

FOILing, we get:

%28sqrt%2836%29%29+-+%28sqrt%2830%29%29+-+%28sqrt%2830%29%29+%2B+%28sqrt%2825%29%29

6+-+2%28sqrt%2830%29%29+%2B+5

highlight_green%2811+-+2%28sqrt%2830%29%29%29

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