if p =√2-√5/√2+√5 and q =√2+√5/√2-√5 , find the value of :-
(i) p-q
(ii) p²-q²
Answers
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0
Answer:
p
2
+q
2
We know that (p+q)
2
=p
2
+q
2
+2pq
So,
p
2
+q
2
=(p+q)
2
–2pq
pq=[(2−
5
)/(2+
5
)]×[(2+
5
)/(2−
5
)]
=1
p+q=−18
so,
p
2
+q
2
=(p+q)
2
–2pq
=(−18)
2
–2(1)
=324–2
=322
Step-by-step explanation:
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