Question

Prove that √3-5 is an irrational number​

Answer 1

Step-by-step explanation:

let us assume that √3-5 is a rational number

therefore √3-5 =a/b where a and b are coprime

√3=a+5b/b

which is rational

but √3 is irrational

this arose when we assumed that √3-5 is a rational number

therefore

√3-5 is an irrational number