Question

Prove that √3 -√2 is an irrational number .

Answer 1

Answer:

see from your rd sharma book

Answer 2

First let us assume root 3-root 2 as rational

i.e

root3-root2=a/b

then,here

root3 and root2 are irrational and a/b is rational (by proof of contradiction)

since,irrational and rational canno be equal never

since,our assumption is wrong to take root3-root2 as rational so it is an irrational