if x=√5-√3/√5+√3 and y =√5 +√3/√5-√
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Answer:
x=
5
+
3
5
−
3
x=
5
+
3
5
−
3
×
5
−
3
5
−
3
=
2
5+3−2
15
=4−
15
y=
5
−
3
5
+
3
y=
5
−
3
5
+
3
×
5
+
3
5
+
3
=
2
5+3+2
15
=4+
15
Now,
x
2
+y
2
−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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