Others Maths Puzzle

if x=(√3+1)/ (√3-1 ) and y=(√3-1)/ (√3+1 ) , then the value of (x^2+y^2)is

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Others Other Question

The person is inside the hall where there are three switches next to person.Down the hall there is a room inside it there
are three light bulbs.Each switch is assigned to each bulb.How could the person know which switch is for which bulb if only one time he get it into the room? the word GROW has another word in it. what is it?{I AM SURE YOU CANT SOLVE IT.)