If x=1+√2,then show that (x-1/x)3=8
Answers
Answered by
0
Answer:
Solution
verified
Verified by Toppr
Correct option is
C
8
Given,
x=1+
2
.
Now,
(x−
x
1
)
3
=(1+
2
−(
1+
2
1
))
3
=[1+
2
−(
2
+1
1
)×(
2
−1
2
−1
)]
3
=[1+
2
−(
2−1
2
−1
)]
3
=[1+
2
−(
2
−1)]
3
=(1+
2
−
2
+1)
3
=2
3
=8.
Therefore, option C is correct.
Similar questions