Question

Prove that √5 + 2 is an irrational number

Answer 1

Step-by-step explanation:

let us suppose it is rational

√5+2=a/b where a and b are integer b not equal to zero

√5=a/b-2=a-2b/b

a-2b/b is rational as a b and 2 are integer

but as we know √5 is irrational so both are not equal

hence our supposition is wrong

√5+2 is irrational