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x= √5-√3
______
√5+√3
X= √5-√3
______. ×. √5-√3/√5-√3
√5+√2.
= 5+3-2√15
= 4-√15
now that
x²+y²−5xy
=(4−√15 )²+(4+√15 )²−5(4−√15)(4+√15 )
=(16+15−8√15)+(16+15+8√15)−5(4−√15)(4+√15 )
=62−5(16−15)
=62−5=57
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