Question

root3+root2 it is rational or irrational with explaining answer ​

Answer 1

Step-by-step explanation:

click on the pic.............

Answer 2

Answer:

Step-by-step explanation:

let assume that  root3+root2 be a rational number

root3+root2=p/q

root3=p/q-root2

By squaring on both sides, root3^2=[p/q-root2]^2

3=p²/q^2-2root2.p/q+2

2root2p/q=p^2/q^2-1

2root2p/q=p^2-q^2/q^2

root2=[p^2-q^2/q^2][q/2p]

root2=p^2-q^2/2pq

root2is a rational number since p^2-q^2/2pq is a rational number

But root 2 is  is not a rational number. This leads us to a contradiction.

∴ our assumption that root3+root2 is be rational number is wrong

root3 +root2 is irrational