Question 1108428
{{{ sqrt(6+4sqrt((2))) = sqrt(x) + sqrt(y) }}}
Squaring both sides:
{{{   6+4*sqrt((2))  =  x + 2sqrt(x)sqrt(y) + y }}}
{{{  6+sqrt(32) =  x + 2sqrt(x)sqrt(y) + y }}}
{{{ 4+2sqrt(4*2)+2 =  x + 2sqrt(x)sqrt(y) + y }}}

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Ans:  x=4, y=2     (or equivalently  x=2, y=4) 
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