Question

Prove that root 2+3/root 3
is a
irrational number​

Answer 1

Answer:

suppose that 2+3/√3 is a irrational number then rationalize the denominator

Answer 2

Step-by-step explanation:

let us consider that 2+3/ √3 is rational

so, 2+3/√ 3 = a / b

2+3. = a / b *√ 3

2+3*b/a =√ 3

this contradicts the fact that √3 is irrational .so, 2+3/√3 would also be irrational this contradiction has been arisen bcoz of our incorrect consideration

hence, 2+3/√3 is irrational