Question

13. Prove that 2 +5√3 is an irrational number, given that √3 is an irrational number.​

Answer 1

let 2+5√3 be rational no

2+5√3 = p/q (q is not equal to zero and pans q are coprime)

√3 = 1/5(p/q-2)

let √3 be rational number but it is given that √3 is irrational so there is contradiction so 2+5√3 is irrational number