Question

show that reciprocal of 3+2root2 is an irrational number.

Answer 1

Answer:

Step-by-step explanation:

If possible let 1/3+2root2 then it's simplest form be a/b where b≠0

Then, 1/3+2root2=a/b

b/a=3+2root2

b/a-3=2root2

b-3a/a=2root2

b-3a/2a=root2

But we know that root2 is irrational so it contradicts our assumption therefore 1/3+2root2 is irrational