Let x=(√7 +√5 ) and y= (√7 − √5 ) Evaluate the following i)x²-y²
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0
Answer:
x=
3
+
2
3
−
2
×
3
−
2
3
−
2
[Rationalising the equation]
⇒
(
3
)
2
−(
2
)
2
3
(
3
−
2
)−
2
(
3
−
2
)
=
3−2
3−
2
3
−
2
3
+2
=5−2
6
Similarly for y
y=5−2
6
f(x)=x
2
+xy−y
2
[substituting the value]
=(5−2
6
)
2
+(5−2
6
)(5−2
6
)−(5−2
6
)
2
⇒5(5−2
6
)−2
6
(5−2
6
)
⇒25−10
6
−10
6
+24
⇒49−20
6
Step-by-step explanation:
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