SOLUTION: Simplify: {{{ (sqrt(2 )+1)^2 + (sqrt(2)-1)^2 }}}.

Algebra ->  Finance -> SOLUTION: Simplify: {{{ (sqrt(2 )+1)^2 + (sqrt(2)-1)^2 }}}.      Log On


   

Question 1039632: Simplify: +%28sqrt%282+%29%2B1%29%5E2+%2B+%28sqrt%282%29-1%29%5E2+.
Found 2 solutions by josgarithmetic, Edwin McCravy:
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
This will not render:
[sqrt(2 )+1]^2 + [sqrt(2)-1]^2

Now this will render:
(sqrt(2)+1)^2+(sqrt(2)-1))^2

The triple curly brackets are needed:
%28sqrt%282%29%2B1%29%5E2%2B%28sqrt%282%29-1%29%29%5E2

Use the number properties you know.
2%2B2sqrt%282%29%2B1%2B2-2sqrt%282%29%2B1
2%2B2%2B0%2B1%2B1
highlight%286%29

Answer by Edwin McCravy(20055) About Me  (Show Source):
You can put this solution on YOUR website!

[Note: in the notation of this site, brackets can only be used
to enclose subscripts.]

+%28sqrt%282+%29%2B1%29%5E2+%2B+%28sqrt%282%29-1%29%5E2+


+%28sqrt%282+%29%2B1%29%28sqrt%282+%29%2B1%29+%2B+%28sqrt%282%29-1%29%28sqrt%282+%29-1%29+

Use FOIL:



2%2B1%2B2%2B1

6

Edwin