For an irrational number x=3+2√2, find out what will be thd nature of the number x+1 upon x
Answers
Answered by
2
Answer:
(1/x)=1/[3+2(2)1/2]∗([3−2(2)1/2]/[3−2(2)1/2]
(1/x)=[3−2(2)1/2]/[32−2∗(21/2)2]
(1/x)=[3−2(2)1/2]/[9−8]=3−2(2)1/2
x+(1/x)=3+2(2)1/2+3−2(2)1/2=6
As 6 is rational hence x+1/x is rational
Answered by
1
Answer:
rational number is the answer for the given problem
Attachments:
Similar questions