Question

show that the reciprocal of 3+2 root 2 is an irrational number

Answer 1

in order to solve this it is enough to prove the above answer
because reciprocal of any irrational number also irrational

proof

The reciprocal of any irrational number is irrational.
Proof: Let x be an irrational number. Suppose 1/x is rational.
Then 1/x = a/b where a and b are integers, a ! 0
(since 0 is a rational number) and b ! 0.
x = 1/1/x = 1/a/b = b/a where b and a are integers and a ! 0.
Therefore x is rational. This is a contradiction.
x is irrational. Therefore 1/x is irrational.


therefore for complete answer write above answer and write if itirrational then its rreciprocal also irrational
defenitely you getfull marks

hope you understood