If a=1-√2 find the value of (a-1/a) 3
Answers
Answered by
22
a=1-√2
∴,1/a
=1/(1-√2)
=(1+√2)/(1-√2)(1+√2)
=(1+√2)/{1²-√(2)²}
=(1+√2)/(1-2)
=-(1+√2)
∴, a-1/a
=(1-√2)-{-(1+√2)}
=1-√2+1+√2
=2
∴, (a-1/a)³=2³=8 Ans.
∴,1/a
=1/(1-√2)
=(1+√2)/(1-√2)(1+√2)
=(1+√2)/{1²-√(2)²}
=(1+√2)/(1-2)
=-(1+√2)
∴, a-1/a
=(1-√2)-{-(1+√2)}
=1-√2+1+√2
=2
∴, (a-1/a)³=2³=8 Ans.
Answered by
4
Answer:
answer is 8............
..
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