Question

prove that root2 + root3 is an irrational number.​

Answer 1

Answer:

Since , a,b are integers , is rational, and so √3 is rational. This contradicts the fact √3 is irrational. Hence, √2+√3 is irrational number

Answer 2

Step-by-step explanation:

let √ 2+√3 =a/b be a irrational number

(√ 2+√ 3)^2=a^2/b^2

(5+2√6)=a^2/b^2

2√6=a^/b^2-5

However,2√6 be a irrational number

a^2/b^2-5, which is a contradict6ion .

Therefore√2+√3 is irrational .