Question

show that root3_root5 is an irrational ​

Answer 1

Answer:

still question is there about root 3 and root

Answer 2

√3 - √5

Let √3 - √5 be of the form p/q where p and q are integers, q isn't equal to zero and p and q are coprime i.e., they have 1 as common factor.

Then √3 = p/q + √5

√3 = p +q√5/q..........p and q are integers and hence rational

this means rhs is rational

but this contradicts the fact that √3 is irrational

hence our supposition is wrong

and √3 -√5 is irrational