Question

Prove that 3+5√2 is irrational. (3X4=12)

Answer 1

Step-by-step explanation:

let us assume the contary that 3+5√2 is a rational number then there consists co prime positive integers a and b such that

3+5√2=a/b

5√5=a/b

√2 =a-3b/5b

terefore 2is a rational number

a and b are integers a-3b /5b us a rational number

the fact that √2 is a irrational number

hence 3+5√2 is a irrational number