Question

Prove that root2 +root3 to the whole square is irrational

Answer 1

Step-by-step explanation:

Let (root 3 + root 5)2 be of the form a/b where a and b are co-primes and b is not equal to zero. Here the RHS is rational while the LHS is irrational. This is not possible and therefore contradicts our assumption that (root 3 + root 5)2 is rational. Therefore (root 3 + root 5)2 is irrational.

Answer 2

$\huge\purple{Answer:-}$

Let (root 3 + root 5)2 be of the form a/b where a and b are co-primes and b is not equal to zero. ... This is not possible and therefore contradicts our assumption that (root 3 + root 5)2 is rational. Therefore (root 3 + root 5)2 is irrational.